0 0 4 0 0 4 0 0 0 5 0 5 0 6 0 7 0 0 5 0 0 0 0 0 0 5 0 0 9 0 7 0 5 0 5 0 0 5 0 5 0 0 0 4 0 4 0 0 9 0 0 0 0 0 5 0 0 0 7 0 4 0 0 0 5 0 0 9 0 4 0 5 0 0 0 5 0 0 0 0 6 0 0 0 0 Кapple 6 0 6 5 0 8 0 6 0 4 0 0 0 6 0 6 0 0 0 0 0 6 0 0 0 9 0 0 9 0 4. 0 0. 0 5 0 7apple 0 7 0 0 0 0 7 6 5 6 0. 0 4. 0 5 0 0 0 0 9 К 0 7 6 5 6 0 0. 0 5. 0 6 0apple 6 7 0 4 0 fl 0 0 0 5 0 0 0 0 4 0 0 0 0 0 7 0 0 0 0 0 0 0 0 0 7 К 0 9 0 0 0 0 0 6 0 0 9 0 0 0 4 0 6 0 0 9 6 0 0 0 0 9fl 0 6 5 0 8 0 8 0 7 0 0 0 0 0 0 0 0 9 0 9 0 9 0 0 К 0 9 6 5 0 9 К 0 4 6 0 0 0 0 0 0 0 8 0 К 0 7 0 6 0 0 4 0 0 0 9 0 0 9 6 0 К 6 0 0 0 0 9 0 6 К 0 fl 0 6 0 0 4 К 0 0 0 0 0 0 7 6 5 6 5 0 6 0 0 0 0 6 0 8 0 0 0 0 9 6 0 0 0 0 0 0 0 7 0 6 0 0 0 0 6 0 7 0 0 0 0 0 7 0 6 0 0 7apple 0 0 8 0 7 0 4 0 0 0 0 0 0 0 9fl 0 0 0 6 0 0 0 0apple 0 9 0 0 0 4apple 6 7 0
0 0 0 0 6 0 0 6 0 0 0 0 0 6fl 0 8 0 7 apple 0 0 0 0 7 0 0 0 0 0 К 6 0 0 0 9 0 9 0 0 0 0 0 7 К 0 9 0 0 0 0 0 6 0 0 7 0 6 0 0 7 0 0 9 0 6 0 6 0 9 0 9 0 6. apple 0 7 0 0 7 0 0 7 0 6 8 8-0 7 0 0 0 6 0 0 0 0 0 fl applefl 00 6 7. 0 0 0 0 0 0 0 0 9 0 0 0 0 0 К 0 7 0 0 0 0 0 0 0 6 0 0 0 0 Кapple 0 8 6 5 0 8 0 6 0 4 0 0 0 6 0 6 0 0 0 0 0 6 0 0 0 9 0 0 9 0 4. 0. apple 0 0 0 0 7 6 5 6 0 0 0 К 6 0 0 0 0 7apple 0. 0 5. 0 0 7apple 0 0 0 0 6 5 6 0 0 8 0 0apple 6 0 0 0 7apple 0 0 7 0 0 8 0 0 0 9 0 0 0apple 0 0 0 7 0 6 6 5fiapple 0 6 0 0 0 9 0 0. 0 5. 0 6 0apple 0 8 0 7 6 5 6 0 0 7 К 0 8 0 9 0 6 6 0 0 0 0 7 6 5 0 8 0 0 0 0 6 0 0 0 0 9.09.0 0 6 0 7apple 0 6 0 0 60 а84 /6 0 7 0 9. 6 8 47 0 0 7 0 6 0 6 0fl 0 8 0 0 0 0 6 0 0 0 0 0 0 0 0. 0.,79 0 9apple 6 0 0 8 500 0 0 0 9. 6 0 0 6 0 0 9 6 8 0 9 0 0 0 0 6 0 4 apple. 6 0. 0 0 К 6 0 0 0 0 9 0 7 0 0 0 0 0 7-0 9 0 9 К 6 0 0 0 0 0 0 0 0 6 0 0 9 0 6 0 7 0 К 0 0 0 0 7 0 0 0 К 0 0 0 0 7 0 8 0 0apple 6 0 0 0 9 6 5 0 0 0 7 0 6 0 8 0 7 0 0 9 6 7apple 6 0 0 0 9 0 9 0 7 0 0
0 0 0 5 0 5 0 0 0 5 0 0 0 5 apple 6 0 0 7 0 0 0 0 6 0 7 К 0 0apple 0 8 6 0 0 0 6fl 0 7 0 6 0 0 0 7 6 5 0 0 0 8 0 0 0 6 6 5 0 0 К 0 0 0 0 0 9fl 0 8 0 7 6 5 0 0 0 0 0 7apple 0 0 0 7 0 6 6 0 0 6 7 0 0 - apple 0 0 6 5 0 8apple 0 0 К 0 0 0 6 0 0 0 8apple 0 7 6 7apple 6 0 0 0 0 8 apple 6 0 0 0 0 0 6 0 0 7 6 7 0 7 6 7 0 7 0 6 0 4 К 6 0apple 0 6 0 6 5 0 0 0 0 0 0 0 7 6 7 0 7 0 0 0 0 6 0 7 0 0 0 0-0 0 0 9 0 0 0 0 0 6 0 0 7 6 7 0 7 0 4 0 0 0 9 6 5 0 0apple 0 6 0 9 0 0 0 0 6 0, 6 5 0 0 7 0 0 0 0 9 0 6 0 0 0 6 5 0 0 0 0 0 7apple 0 0 0 7 0 0 0 9 0 6 0 0 0 0 4 6 0 0 0 0 0 0 7 0 0 0 8apple 0 7 0 9 0 9 6 5 0 0 К 0 0 0 0 0 9fl 6 5 0 0 0 0 0 7apple 0 7 6 5. 0 7 0 6 0 0 8 К 0 7 0 6 0 0 0 0 0 0 0 8apple 0 9 6 5 0 7 Кfl 0 0 6fl 0 8apple 0 9 0 0 0apple 0 8 0 6 apple 0 0 0 4 0 0 0 0 0 9 0 0 0 0 9 0 9 6 0 К 6 0 0 0 0 9 К 0 fl 0 6 6 0 0 0 7 0 6 0 0 7fl 0 0 0 0 0 0 0 0 0 7 0 6 apple 6 0 0 7 0 0 8 0 6 0 0 4 К 0 0 0 0 0 0 7 6 5. 6 0 0-0 8 0 0 0 8 0 7 0 6 0 7 0 9 0 0 0 6 0 7 К 0 0apple 0 8 0 9 0 5 6 5 6 0apple 0 9 6 0 0 0 0 0 7 6 5 0 9 0 0 К 0 9 6 5 0 9 К 0 4 6 0 0 0 0 0 0 0 8 0 К 0 7 0 6 0 0 4 0 0 0 9 0 0 9 6 0 К 6 0 0 0 0 9 0 6 К 0 fl 0 6 0 0 4 К 0 0 0 0 0 0 7 6 5. 0 5 0 6 0 0 8 К 0 7 0 6 5 6 0apple 0 9 6 0 0 0 0 0 0 0 8 0 7 5 0 9 6 0 К 6 0 0 0, 0 7 0 6 5 6 0 0 0 8 6 5 6 0-0 9 0 7 0 9 0 6 5 0 6 0 0 0 0 0 0 0 8 К 6 0 0 0 0 0 0 7 6 7 0 7 0 0 4apple 0 6 6 0. 0 5 0 fl 6 5 0 6 0 0 0 6 5 6 0apple 0 9 6 0 0 0 0 0 7 6 5 0 9 0 0 К 0 9 6 5 0 9 К 0 4 6 0 0 0 0-0 0 0 8 0 К 0 7 0 6 0 0 4 0 0 0 9 0 0 9 6 0 К 6 0 0 0 0 9 0 6 0 8apple 0 9 6 5 0 0 К 0 0 0 0 0 8 0 7 0 6 5 0 0 0 0 8. 0 7 0 6 0 7 0 9 0 0 0 8apple 0 0 К 0 0 6 0 0 9 0 0 6 0-0 0 0 0 0 0 0 7 К 0 fl 0 6 0 0 4 К 0 0 0 0 0 0 7 6 5 К 0 0 0 0 6 5 0 0 0 7 0 6 0 0 7apple 0 0 8 0 7 0 4 0 0 0 0 0 0 0 9fl apple 6 0 0 0 0 0 6 0 0 7 6 7 0 7 6 7 0 7 0 6 0 4- К 6 0apple 0 6 0 6 5 0 0 0 0 0 0 0 7 6 7 0 7 0 0 0 0 6 0 7 0 0 0 0 0 0 0 9 0 0 0 0 0 6 0 0 7 6 7 0 7 0 4 0 0 0 9 6 5 0 0apple 0 6 0 9 0 0 0 0 6 0.
. 0 0 0 5 0 0 0. 0 0 0 4 0 0 0 9 0 4 0 0 0 0 0 0 0 9 0 4 0 0 5 0 5 0 0 0 0 0. 0 0 0 0 5 0 0 0 4 0 0 0 5 0 0 0 0 5 0 5 0 0 0 0 0 7apple 0 0 0 8 0 0 6 5 0 0 0 0 9 0 0 0 9 0 0 0 8 0 6 0apple 6 0 0 0 0 0apple 0 9 0 9 0 4 0 9 0 0 6fl 0 0 0 9 0 6 0 0 7 0 0 9 0 0 6 0 0 8apple 6 0 6 5 0 0 0-0 0 0 9 0 0 0. 0 4 6 0 0 8apple 0 9 0 0 0apple, 0 6 0 9 0 6 0, 0 6 0 0 7apple 0 7 0 6 0 0 0, 0 4 0 6 0 0 7apple 0 0 0 0 0 9 0 0, 0 0 6 0 0 8applefl 0 8fi 0 0 0 0 0 7 0 6 0 0 0 0 0 0 0-0 0 apple 0 9 0 0 0 0 0 6 0 0 7 6 7 0 7 0 8 0 7 0 fl. 0 7 0 0 0 7 0 0 0 0 apple 0 9 0 0 0 0 0 6 0 0 9 6 5 0 0 0 0 0 7apple 0 0 0 8 0 0 6 5 0 0 0 0 9 0 0 0 9 0 0 0 8 0 9 0 9 0 7 apple 6 0 0 8 6 0 0 9 0 0 6fl 0 0 6 0 0 8apple 6 0 6 5-0 0 0 0 0 0 0 0 8 0 0 9 0 8applefl 0 0 7 0 0 9 0 0 0 0 0 6 0 0 0 8 0 0 9 0 7 0 apple 0 0 0 9 0 6 0 0 0 9 6 5 0 0 0 0 0 7apple 6 0 0 0 9. 0 7 0 9 0 0 6 0 0 0 6 0-0 9 0 0 6fl 6 5 0 0 0 0 0 7apple 0 8 AB З, 6 0 З, b З, c З 0 9 0. К. 0 5 0 0 9 0 0 0 7 0 6 ( 0 0 7 К 0 4 0 0 0 0 ) 6 5 0 0 0 0 0 7apple 6 0 AB З 0 0 6 0 0 9 0 8 6 5 6 0 0 0 0 0 6fl К 0 0 9 0 0 6 0 0 7 0 apple 0 0 0 9 0 6 0 0 0 5, 0 7 0 0 6 0 0 7 0 7 0 9 0 0 6 0 0 0 6 0 0 0 0 0 6fl AB З. 0 0 0 6 0 0 9 0 0 7 К 0 4 0 0 0 6 5 0 0 0 0 0 7apple 6 0 apple 6 0 6 5 0 0 0 0 0 0 0 4 0 0 9, 0 0 7 0 0 0 7 0 0 0 4 0 0 0-6 5 0 0 0 0 0 7apple. 0 4 6 0-0 8apple 0 9 0 0 0apple, 0 0 З = 0. 0 0 0 6 0 0 9 0 0 7 К 0 4 0 0 0 6 5 0 0 0 0 0 7apple 6 0 apple 6 0 6 5 0 0 0 0 0 0 К 0 9 0 0 0 9 0 0 0, 0 0 7 6 5 0 0 0 0 0 7apple 0 0 К 0 9 0 0 0 9 0 0 0 0 0 8 0 6, 6 0 З =. 0 5 0 0 0 0 0 7apple 0 8 6 0 З 0 9 b З 0 0 6 0 0 9 0 8 6 5 6 0 0 9 0 0 6fl 0 0 7 0 0 0 9 0 0 0 0 6 0apple 0 0 0 8 0 0 9, 0 0 0 6 0 0 9 0 7 0 0 0 9 0 0 0 0 8 6 0 0 0 0 6 0 0 7 К 0 0 0 7 0 6 0 8applefl 0 0 7 0 6 0 9 0 0 9 0 0 6 0 0 8 6 0apple 6 0 0 0 0 0 0 0 0 0 0 0 8 0 0 8applefl 0 0 8 0. 0 7 0 9 0 0 6 0 0 0 6 0 0 9 0 0 6fl 0 7 0 0 0 9 6 0 З b З. 0 0 0 6 0 0 9 6 5 0 0 0 0 0 7apple 6 0 З 0 Э Э 6 0 З 0 9 6 0 З 0 =, 0 0 7 6 5 0 0 0 0 0 7apple 6 0 З 0 0 0 6 0 0 9 0 8 6 5 6 0 0 0 0 0 6fl 0 7apple 0 0 7 0 6 5 0 0 0 0 0 7apple 6 0 6 0 З. 0 4 0 4 0 0 0-6 5 0 0 0 0 0 7apple 0 0 7 0 0 0 9 0 0 0 0 6 0apple 0 0 0 0 0 0 9 0 7 0 0 4 6 5 0 0 0 0 0 7apple 0 4. apple 0 9 ( 0 9 0 7 0 0 0 0 0) 6 5 0 0 0 0 0 7apple 6 0 0 0 6 0 0 9 0 8 6 5 6 0 0 9 0 0 6fl 0 0 7 0 0 8 0 6 0 0 0 6 0apple 0 0 0 8 0 0 9, 0 0 0 6 0 0 9 0 7 0 0 0 9 0 0 0 0 8 6 0 0 6 5 0 7 К 0 0 0 7 0 6 0 8 0 0 7 0 6 0 0 7 0 6 0 0 9 0 9 0 0 9 6 5 0 8 6 0apple 6 0 0 0 0 0 0 0 0 0 0 0 8 0 0 8 0 0 7 0 6 0 0 7 0 6 0 fl 0. apple 0 9 0 0 0 0 0 0 7 0 0 8 0 6 0 0 0 6 0apple 0 0 0 8 0 6 5 0 0 0 0 0 7apple 6 0 6 0 З, b З, c З 6 5 0 9fl 0 0 8 0 0 6 5 0 4 0 6 0 0 9 6 0 0 0 0 0 0 7 0 0 8 0 7applefl К 0 0 0, 0 7 apple 6 0 0 9 0 4 0 9 0 0 8apple 6 0 6 5 0 4 0 9 0 apple 0 7 0 6 0 0 4, 0 0 0 6 0 0 9 0 9 0 9 0 0 7 0 0 0 6 0 6 5 0 0 0 0 0 7apple 6 0 c З 0 apple 6 0 0 0 0 6 0 0 6 0 4 0 9 0 6 0 8 0 7 6 5 0 7apple 0 7 0 0 7 0 0 8 0 0apple 6 5 0 7 6 7 0 7 6 5 0 0 0 0 0 7apple 6 0 6 0 З 0 0 7 6 5 0 0 7apple 0 7 0 0 4 6 5 0 0 0 0 0 7apple 0 4 b З 6 5 0 9- К 0 0 0 0 0 6 0 7 6 5 0 0apple 0 4 6 0 0 9 0 7 0 9 0 0 6fl 0 8apple 0 7 0 0 9 6 5 0 0 7 К 6 0 0 0 6 0 0 6 0 7 6 5 0 7 0 6 0 6 0 apple 0 0 0 0 0 9. 0 0 0 6 0 0 9 0 0 7 К 0 4 0 0 9 6 5 0 0 0 0 0 7apple 0 7 6 5 apple 6 0 6 5 0 0 0 8 0 9 0 7 0 0 0 9 0 6 0 7 0 0 6 0 0 8apple 6 0 6 5 0 0 0 0 0 0 8, 0 0 7 0 0 0 9 6 5 0 0 0 0 0 7apple 0 8 0 0 6 0 0 9 0 8 6 5 6 0 0 9 0 0 6fl apple 6 0 6 5 0 0 0 8 0 0 9, 0. 0 0. 6 0 З = b З 6м 6 0 З = b З 0 9 6 0 З Э Э b З. 0 0 0 6 0 0 9 0 0 7 К 0 4 0 0 9 6 5 0 0 0 0 0 7apple 0 7 6 5 apple 6 0 6 5 0 0 0 8 0 9 0 7 0 0 0 9 0 8apple 0 7 0 0 9 6 5 0 7 0 8 0 7 0 0 7 0 8 0 0 0 7 0 0 6 0 0 8apple 6 0 6 5-0 0 0 0 0 0 8, 0 0 7 0 0 0 9 6 5 0 0 0 0 0 7apple 0 8 0 8apple 0 7 0 0 9 6 5 0 7 0 8 0 7 0 0 7 0 8 0 0 0 8: AB З = CBA З. 0 0 0 6 0 0 9 6 5 0 0 0 0 0 7apple 0 8 0 9 0 0 0 0 9 0 0 7 0 7 0 0 0 0 0 0 6 0 0 0 6 0 0 0 7, 0 0 7 0 4 6 7 0 7 0 0 0 0 0 8 К 0 4 0 9 0 0 0 6 0-0 8apple 6 0 6 5 0 0 0 0 0 0 9fl 0 0 9 0 4 6 7 0 7 0 0 0 0 0 8 К 0 4 6 5 0 0 0 0 0 7apple 6 0 0 0 9. 4
apple 0 7 0 0 0 0 0 9 0 0 0 6 6 5 0 0 0 0 0 7apple 6 0 6 0 З = AB З 0 0 6 0 6 5 0 0 0 0 0 7apple b З 0 0 6 0 0 9 0 8 6 5 6 0 0 0 0 0 6fl К 0 0 9 0 0 6 0 З 6 5 0 0 0 0 0 7apple 6 0 A ДB Д, 0 9 6 0 0 0 0 9 0 0fi 0 0 0 0 0 7 6 7 0 7 0 0 0 0 8 К 0 4 0 8apple 0 7 0 0 0 0 0 9fl 0 0 9 0 0 6 0 0 0 6 0 0 6 0 0 9 0 0 7 0 0 0 6 0 6 5 0 0 0 0 0 7apple 6 0 AB З 0 0 6 0 6 5 0 0 0 0 0 7apple b З (apple 0 9 0 6. ), 0 8apple 0 9 0 0fi 0 0 0 6 0 К 0 0 9 0 0 6 0 0 0applefi 0 0 6fl 0 6 0 8 0 7-0 0 7 0 8 0 9 0 0 0 0 0 0 0 0 0 8 0 0 9 0 0 6 0 0 0 7 0, 0 0 7 6 7 К 6 0 b З З Э Э A ДB Д 0 9 0 6 0 7 0 apple 0 9 0 6 0 0 0 0 0 0 0 0 0 0 8 0 0 9 0 0 6 0-0 0 7 0, 0 0 7 6 7 К 6 0 b З З З З Э Щ A ДB Д (apple 0 9 0 6. ). 0 7 0 9 0 0 6 0 0 0 6 0 0 0 0 0 6fl 0 7 0 0 6 0 0 8appleb З 6 0 0 9 0 0 9 0 8apple З b AB. B B A 0м 0м A A Д B Д A Д B Д 0 9 0 6. 0 9 0 6. З 0 5 0 0 9 0 0 6 0 6 5 0 0 0 0 0 7apple 6 0 A ДB Д, 0 9 6 0 0 0 0 9 0 0 0 0 0 0 0 0 0 7 6 7 0 7 0 0 0 0 8 К 0 4 0 8apple 0 7 0 0 0 0 0 9fl 0 0 9 0 0 6 0 0 0 6 0 0 6 0 0 9 0 0 7 0 0 0 6 0 6 5 0 0 0 0 0 7apple 6 0 AB З 0 0 6 0 6 5 0 0 0 0 0 7apple b З З : 0 8apple З b 6 0 = 6 0 З cos 0м, 6 7 К 0 0 0м 0 4 6 7 0 7 0 0 0 0 0 8 К 0 4 6 5 0 0 0 0 0 7apple 6 0 0 0 9 6 0 З 0 9 b З. 0 0 0 9 0 0 0 0 0 6 0 0 0 8 0 0 0 7 0 8 0 0apple 6 0 0 0 9 0 9 0 0 6 0 К 6 5 0 0 0 0 0 7apple 6 0 0 0 9 0 5 0 4 0 0 0 7 0 6 К 6 5 0 4 0 6 5 0 0 0 0 0 7apple 0 7 6 5 6 0 З 0 9 b З 0 0 6 0 0 9 0 8 6 5 6 0 0 0 0 0 6fl 6 5 0 0 0 0 0 7apple c З = 6 0 З + b З (apple 0 9 0 6. ). 6 0) apple 6 0 6 5 0 9 0 0 7 0 apple 0 0 0 4 6 7 0 7 0 0 0 0 0 0 9 0 6 0 ) apple 6 0 6 5 0 9 0 0 7 0 8 6 0apple 6 0 0 0 0 0apple 0 7 6 7apple 6 0 0 0 6 0 0 9 0 6.. 0 5 0 0 0 0 0 7apple 0 8 6 0 З 0 9 b З 0 0 0 6 0 0 9 6 0 З Э Э b З, A 0 0 0 6 0 0 9 6 0 З Э Щ b З, A 6 0 З b З C, 0 0 7 AB З = 6 0 З, BC З = b З, AC З = 6 0 З + b З. 6 0 З 0 5 b З 0 5 6 0 0 9 0 0 0 7 0 6 0 0 0 0 9 6 5 0 0 0 0 0 7apple 0 7 6 5 6 0 З 0 9 b З 0 0 6 0 0 9 0 8 6 5 6 0 0 0 0 0 6fl 6 5 0 0 0 0 0 7apple c З = 6 0 З C b З, 0 6 0 0 0 7 0 6, 0 0 0 0 7 6 0 З = b З + c З. 5
6 0 0 9 0 0 0 7 0 6 0 0 0 6 5 0 0 0 0 0 7apple 0 7 6 5 6 0 З 0 9 b З 0 0 7 0 8 0 0 0 7 apple 6 0 0 6 0 6 0 6 0 0 apple 0 9 6 5 6 0 0 0 0 0 6 0 0 0 6 0 4 0 0 0 4 6 5 0 0 0 0 0 7apple 0 7 6 5 6 0 З 0 9 ( Cb З ), 0. 0 0. 6 0 З C b З = 6 0 З + ( Cb З ). 0 0 0 6 0 0 9 6 5 0 8 6 0apple 6 0 0 0 0 0 0 0 7 6 7apple 6 0 0 0 0 0 ABCD (apple 0 9 0 6. 4) AB З = 6 0 З, AD З = b З, 0 0 7 AC З = 6 0 З + b З, DB З = 6 0 З C b З. B A C D 0 9 0 6. 4. 6 0apple 6 0 0 0 0 0 0 0 7 6 7apple 6 0 0 0 ABCD 0 0 0 6 0 0 9 6 5 0 0 0 0 0 7apple 0 8 6 0 З, b З, c З, d З 0 7 apple 6 0 0 9 0 4 0 9 0 0 0 7 0 6 0 0 0 0 4 0 9 0 0 9 0 0 0 9 0 9 ABCDF (apple 0 9 0 6. 5), AB З = 6 0 З, BC З = b З, CD З = c З, DF З = d З, 0 0 7 AF З = 6 0 З + b З + c З + d З. A B C D F 0 9 0 6. 5. 0 0 0 7 0 6 0 0 0 6 0fl 0 0 9 0 0 0 9fl ABCDF apple 0 7 0 9 0 9 6 5 0 0 К 0 0 0 0 0 9 0 0 6 5 0 0 0 0 0 7apple 6 0 0 0 6 0 0 0 0 9 0 6 0 0 7 apple 0 7 0 9 0 9 6 5 0 0 К 0 0 0 0 0 9 0 0 0 6 5 0 0 0 0 0 7apple 6 0 6 0 З ы 0 З 0 0 6 0 0 0 0 9 0 6 0 0 7 к ы0 0 0 6 0 0 9 0 8 6 5 6 0 0 0 0 0 6fl 6 5 0 0 0-0 0 7apple кa З, 0 0 7 0 0 7apple 0 8 0 6 0 9 0 0 0 0 0 0 К 0 0 9 0 0 0 4, apple 6 0 6 5 0 0 0 4 0 9 к 6А6 6 0 З ; 0 0 0 6 0 0 9 к > 0, 0 0 7 кa З 0 6 0 7 0 0 6 0 0 8apple 6 0 6 5 0 0 0 0 0 6 0 З, 0 0 0 6 0 0 9 к < 0, 0 0 7 кa З 0 8apple 0 7 0 0 9 6 5 0 7 0 8 0 7 0 0 7 0 8 0 0 0 7 0 0 6 0 0 8apple 6 0 6 5 0 0 0 0 0 6 0 З. 0 0 0 0 0 0 9 0, 0 0 0 0 7 6 0 З = 6 0 З 6А6 6 0 З 0 0 9, 0 0 0 6 0 0 9 6 0 З b З, 0 0 7 0 6 0 4 0 7 0 0 0 6 0 6 5 0 4 0 0 0 0 6 0 0 0 7 0 0 к, 0 0 0 0 7 b З = к 6А6 6 0 З. 0 0 0 9 0 0 0 0 0 6 0 0 6 0fl 0 9 6 0 6 5 0 9 0 6 0 9 0 0 7 0 6 0 0 0 6 5 0 0 0 0 0 7apple 0 7 6 5 0 5 0 0 0 0 0 7apple 0 8 6 0 З, 6 0 З, 6 0 З,, 6 0 З n 0 0 6 0 0 9 0 8 6 5 6 0 0 9 0 0 6fl 0 0 9 0 0 0 0 0 6 0 0 0 7 0 9 6 0 6 5 0 9 0 6 0 9 0 0 8 0 0 9, 0 0 0 6 0 0 9 0 6 0 4 0 7 0 0 0 6 0 6 5 0 4 0 9 0 0 0 0 9 0 6 0 6 0 к, к, к,, к n, 0 0 0 0 6 5 0 6 0 0 apple 6 0 6 5 0 0 0 8 0 0 0 0 0 4 0 0 9, 6
К 0 fl 0 0 7 0 0 7apple 0 8 0 6 5 0 8 0 8 0 7 0 0 0fl 0 0 0 0 6fl apple 6 0 6 5 0 0 0 0 0 6 0 6 5 0 7 к 6 0 З + к 6 0 З + к 6 0 З + + + к n 6 0 З n = 0. 0 5 0 0 0 0 0 7apple 0 8 6 0 З, 6 0 З, 6 0 З,, 6 0 З n 0 0 6 0 0 9 0 8 6 5 6 0 0 9 0 0 6fl 0 0 9 0 0 0 0 0 6 0 0 0 7 0 0 0 0 0 9 6 0 6 5 0 9 0 6 0 9 0 0 8-0 0 9, 0 0 0 6 0 0 9 apple 6 0 6 5 0 0 0 0 0 6 0 6 5 0 7 к 6 0 З + к 6 0 З + к 6 0 З + + к n 6 0 З n = 0 6 5 0 8 0 8 0 7 0 0 0fl 0 0 0 0 6fl 0 0 7 0 0 0 0 0 7 0 8apple 0 9 0 4 0 6 0 0 7 6 5 0 9 0 9, 0 0 0 0 7 к = к = к = = к n = 0. 0 5 6 5 0 7 0 6 0 6 0 6 5 6 0 6 5 0 0 0 0 0 7apple 0 7 6 5. 0 5 0 6fl 0 0 9 0 0 0 apple 0 9 6 5 0 0 0 0 0 7apple 6 0 0 0 6 0 0 8 0 0 7 0 6 0 0 7 0 6 0 0 9 0 0 9 0 0 0 0 0 6 0 0 0 7 0 9 6 0 6 5 0 9 0 6 0 9 0 0 8. 0 6 0 0 9 0 9-0 6 0 7 0 0 0 6 0 0 8 0 0 7 0 6 0 0 7 0 6 0 0 9 0 0 6 0 0 9 0 8 6 5 6 0 0 9 0 0 6fl К 6 5 6 0 0 0 9 0 8 0 0 0 9 0 0 0 0 0 6 0 0 0 7 0 0 0 0 0 9 6 0 6 5 0 9 0 6 0 9 0 0 8 0 6 5 0 0 0 0 0 7apple 6 0.. 0 5 0 6fl 0 0 9 0 0 0 0 0 0 0 0 8apple 0 0 6 5 0 0 0 0 0 7apple 6 0 6 5 0 8apple 0 7 0 6 0 apple 6 0 0 0 0 6 0 6 5 0 0 0 0 9 0 0 0 0 0 6 0 0 0 7 0 9 6 0 6 5 0 9 0 6 0 9 0 0 8. 0 6 0 0 9 0 9 0 6 0 7 0 6 5 0 8apple 0 7 0 6 0 apple 6 0 0 0 0 6 0 6 5 0 0 0 0 6 0 0 9 0 8 6 5 6 0 0 9 0 0 6fl 0 apple 0 9 0 0 9 0 8 0 0 0 9 0 0 0 0 0 6 0 0 0 7 0 0 0 0 0 9 6 0-6 5 0 9 0 6 0 9 0 0 8 0 6 5 0 0 0 0 0 7apple 6 0.. 0 0 0 9 0 7 0 6 6 5 0 0 0 0 0 7apple 0 0 7 0 8 0 0 0 0 8 0 0 0 apple 6 0 0 9 0 0 7 0 8 0 0 0 0 0 8 0 7 6 0 0 9 0 9 0 6 0 4. apple 0 9 0 0 0apple 0 5 0 apple 0 0 0 4 6 7 0 7 0 0 0 0 0 0 9 0 0 0 0 0 5 0 5 AB З = 6 0 З, AC З = b З, 0 0 6 0 0apple 0 0 К 0 9 0 0 6 0 0 7 0 apple 0 0 0 9 0 6 0 0 5 0 5. 0 5 0 8apple 6 0 0 9 0 9 0 0 0 0 0 0 0apple 0 0 0 9 6 0 З, 0 9 b З 6 5 0 0 0 0 0 7apple 0 8 BC З, AM З. 0 0 0 4 0 0 0 0 0 9 0 0 0 7 0 6 0 apple 0 7 0 9 0 0 apple 0 0 0 4 6 7 0 7 0 0 0 0 0 0 9 0 0 0 5 0 5 (apple 0 9 0 6. 6). B A M D C 0 9 0 6. 6. 6 0apple 6 0 0 0 0 0 0 0 7 6 7apple 6 0 0 0 ABCD 0 0 0 0 0 К 0 9 6 0 0 0 6 0. AM З = 7 7 AD З = 7 7 ( 6 0 З + b З ), BC З = b З C 6 0 З. 7
6 0 К 6 0 0 0 0 9 К 0 fl 0 6 6 0 0 0 7 0 6 0 0 7fl 0 0 0 0 0 0 0 0 0 7 6 7 0 7 apple 0 0 0 4 0 0 0 0 0 9fl.. 0 5 0 8 6 0apple 6 0 0 0 0 0 0 0 7 6 7apple 6 0 0 0 0 0 0 0 5 0 5D, AB З = 6 0 З, AD З = b З, 0 0 0 7 0 0 0 6 0 0 8 0 0apple 0 0 0 6 0 0 0 0 0 0 0 0 0 9fl К 0 9 6 0 6 7 0 7 0 0 6 0 0 0 0 0 6. 0 5 0 8apple 6 0 0 9 0 9 0 0 0 0 0 0 0apple 0 0 0 9 6 0 З 0 9 b З 6 5 0 0 0 0 0 7apple 0 8 MA З, MB З, MC З, MD З... 0 5 0 apple 0 0 0 4 6 7 0 7 0 0 0 0 0 0 9 0 0 0 0 0 5 0 5 0 0 0 7 0 0 0 6 0 0 8 0 0apple 0 0 0 6 0 0 0 0 0 0 0 0 0 9fl 0 0 0 К 0 9 6 0 0 0. 0 5 0 7 0 6 0 0 9 6 0 0 0 0, 0 0 0 0 7 MA З + MB З + MC З = 0 З... 0 5 0 8apple 6 0 6 5 0 9 0 0 0 0 0 0 7 0 6 0 apple 0 0 0 4 6 7 0 7 0 0 0 0 0 0 7 0 6 0 8 0 9apple 6 0 0 0 9 К 0 0 S 0 0 5 0 5 AB З = 6 0 З, AC З = b З З З, AS = c. 0 5 0 8apple 6 0 0 9 0 9 0 0 0 0 0 0 0apple 0 0 0 9 6 0 З, b З, c З 6 5 0 0 0 0 0 7apple 0 8 BC З, З SB, SC З, SO З. 0 0 7 0 0 0 4 0 0 9 0 5 0 0 0 0 0 5 0 0 0 5. 0 0 0 0 5 0 0 0 4 0 0 0 5 0 0 0 0 0 4 0 0 5 0 5 0 0 5 0 0 0 4 0 0 0 0 0 5 0 0 0 5 0 4 0 0 5 0 0 0 0 0 7apple 0 8 i З, j З, З k 6 5 0 9 6 0 0 9 0 0 0 0 7 0 8 0 0apple 0 8 0 0 0 0 К 0 9 0 0 4 0 flapple 0 0 0 8 i З, j З, k З =, 0 7 - apple 6 0 0 9 0 4 0 9 0 0 8apple 6 0 6 5 0 4 0 9 0 apple 0 7 0 6 0 0 4 0 9 0 9 0 0 0 0 9 0 0 7 0 7 0 0 0 0 0 0 6 0 0 0 6 0 0 0 7 (0;0;0). 0 0 9 6 5 0 0 0 0 0 7apple 0 8 0 7 apple 6 0 0 9 0 4 0 9 0 6 0 0 9 0 9 0 6. 0 4 6 0 0 0 0 7 0 6 0 0 9 0 9 0 6 0 0 0 8 0 7 0 6 0 apple 0 7 0 9 0 0 8applefl 0 0 7 0 4 6 7 0 7 0 0 0-0 0 0 4 0 9 К 0 0 0 6 0apple 0 0 7 6 5 0 4 0 6 0 9 0 6 0 0 0 0 0 4 0 0 7 0 7apple К 0 9 0 0 6 0 0 Oxyz. 0 6 0 0 0 Э Эi З 0 7 0 6 0 0 6 0-0 6 0 0 9 0 6 0 6, 0 7 0 6 0 0 y Э Эj З 0 7 0 6 0 0 0 7apple К 0 9 0 0 6 0 0, 0 7 0 6 0 0 z Э Эk З 0 7 0 6 0 0 6 0 0 8 0 8 0 0 9 0 6 0 0. 0 0 6 0 0 0 6 0 0 0 7 0 0 7 0 7apple К 0 9 0 0 6 0 0. 0 5 0 0 0 0 0 7apple 6 0 З = (x; y; z). 6 0 З = xi З + yj З + zk З, x, y, z 0 0 7 0 7apple К 0 9 0 0 6 0 0 0 8 6 5 0 0 0 0 0 7apple 6 0 0 8apple 0 7 0 0 0 0 0 9 0 9 6 5 0 0 0 0 0 7apple 6 0 6 0 З 0 0 6 0 0 7 0 6 0 9 0 0 7 0 7apple К 0 9 0 0 6 0 0 (apple 0 9 0 6. 7). z z x O y y x 0 9 0 6. 7. 0 5 0 9 0 6 0 0 0 0 6 0 0 0 7 0 7apple К 0 9 0 0 6 0 0 Oxyz 8
0 6 0 0 0 7 6 5 0 0 0 8 0 0 0 8apple 6 0 6 5 0 9 0 6 0 0 9 0 0 7apple 0 0 4 0 0 8. 0 0 0 6 0 0 9 6 0 З = AB З, 0 (x ;y ;z ), B (x ;y ;z ), 0 0 7 6 0 З = (x C x ; y C y ; z C z ).. 0 0 0 6 0 0 9 6 0 З = (x; y; z) 0 0 7 6 0 З = x + y + z.. 0 4 6 0 0 8apple 6 0 6 5 0 fl 0 9 0 7 0 9 0 0 0 0 7 0 6 0 9 0 0 0 4 0 6 0 8 6 5 0 0 0 0 0 7apple 6 0 6 0 З = (x; y; z) cos а, cos б, cos ц, 6 7 К 0 0 а = 6 0 З ^ i З, б = 6 0 З ^ j З, ц = 6 0 З ^ k З, 0 0 6 0 0 0 7 Кfl 0 0 6fl 0 8 0 7 0 0 7apple 0 0 4 0 6 0 0 : x y z cos а = r, cos б = r, cos ц = r ; а а а cos а + cos б + cos ц =, 6 0 З 0 = (cos а; cos б; cos ц). 4. 0 0 0 6 0 0 9 6 5 0 0 0 0 0 7apple 0 4 0 0 0 0 7 0 8 6 0 0 0 0 0 6fl 0 0 6 0 0 0 0 9 0 6 0 0 7 к, 0 0 7 6 5 0 6 0 0 0 0 6 7 0 7 0 0 7 0 7apple К 0 9 0 0 6 0-0 0 8 0 4 0 0 0 0 7 0 8 6 0 0 9 0 0 6fl 0 0 6 0 0 0 0 7 0 0 0 9 0 6 0 0 7: к 6 0 З = ( кx; кy; кz). 5. 0 0 0 6 0 0 9 6 5 0 0 0 0 0 7apple 0 8 6 0 З = (x ;y ;z ), b З = (x ;y ;z ) 0 0 7 0 0 0 9 0 0 0 0 6 0apple 0 0 0 8, 0. 0 0. 6 0 З b З x y z, 0 0 7 = =. x y z 6. 0 0 7 0 7apple К 0 9 0 0 6 0 0 0 8 0 6 0 4 0 0 0 8 6 5 0 0 0 0 0 7apple 0 7 6 5 apple 6 0 6 5 0 0 0 8 0 6 0 4 0 0 0 0 0 6 0 7 0 7 0 6 5 0 0 0 0 6 0 6 5 0 4 0 9-0 7 0 9 0 0 0 7 0 7apple К 0 9 0 0 6 0 0 0 6 0 6 0 6 7 6 0 0 0 0 0 8 0 6 5 0 0 0 0 0 7apple 0 7 6 5: 6 0 З = (x ;y ;z ), b З = (x ;y ;z ), 6 0 З + b З = (x + x ; y + y ; z + z ). 7. 0 0 0 6 0 0 9 0 0 7 0 0 0 6 0 0 5 К 0 0 0 0 9 0 0 7 0 apple 0 0 0 9 0 7 0 0 0 5 6 5 0 7 0 0 0 0 7 0 4 0 0 0 0 0 9 0 9 к, 0. 0 0. 7 A C 7 = к CB 6Ж9 x+ кx y+ кy z+ кz 6В 0 9 0 (x ;y ;z ), B (x ;y ;z ), 0 0 7 C 6В0 ; ; 6В (apple 0 9 0 6. 8). 6В + к + к + к 6В4 A C B 0 9 0 6. 8. 0 apple 0 0 0 9 0 7 0 AB 9
6 0 К 6 0 0 0 0 9 К 0 fl 0 6 6 0 0 0 7 0 6 0 0 7fl 0 0 0 0 0 0 0 0 0 7 6 7 0 7 apple 0 0 0 4 0 0 0 0 0 9fl.. 0 5 6 0 0 0 0 8 К 6 5 0 0 0 0 7 0 0 0 0 9 0 (; C;) 0 9 B (; C;5). 0 4 6 0 0 6 0 0 9 0 0 6 0 0 8apple 6 0 6 5 0 fl 0 9-0 7 0 9 0 0 0 0 7 0 6 0 9 0 0 0 4 0 6 0 8 6 5 0 0 0 0 0 7apple 6 0 AB З. 0 0 0 4 0 0 0 0 0 9 0 0 0 4 6 0 0 6 Кfi 0 0 0 7 0 7apple К 0 9 0 0 6 0 0 0 8 6 5 0 0 0 0 0 7apple 6 0 AB З 0 8 0 7 0 0 7apple 0 0 4 0 0 0 (). 0 7 0 0 4 0 0 0 9 0 : AB З = ( C ; C C( C); 5 C) = (; C;). 0 7 0 0 7apple 0 0 4 0 0 0 () 0 0 6 0 0 6 Кfi 0 AB З = + ( C ) + = 9 =. 0 7 0 0 7apple 0 0 4 0 0 0 () 0 0 6 0 0 6 Кfi 0 : cos а = 7 7, cos б = C 7 7, cos ц = 7 7... 0 4 6 0 0 6 0 0 9 0 0 7 0 7apple К 0 9 0 0 6 0 0 0 8 0, 0 4 6 5 0 0 0 0 0 7apple 6 0 6 0 З, 0 0 0 6 0 0 9 6 5 0 0 0 0 0 7apple 0 6 0 4 0 0 0 8 6 5 0 0 0 0 0 7apple 0 7 6 5 6 0 З = (x;y; C5) 0 0 7 0 0 0 9 0 0 0 0 6 0apple 0 0 0 0 6 5 0 0 0 0 0 7apple 0 4 c З = (8; C8; C4), 6 5 0 8 0 0 0 9 0 6-0 0 9 0 0 0 6 0 З + b З. 0 0 0 4 0 0 0 0 0 9 0 0 0 4 6 0 0 6 Кfi 0 6 5 0 0 0 0 0 7apple 0 6 0 4 0 0 0 8 6 5 0 0 0 0 0 7apple 0 7 6 5 6 0 З 0 9 b З : 6 0 З + b З = (x + ; y C 4;). 0 0 6 0fl, 0 0 0 0 7 ( 6 0 З + b З c З x+ y C 4 ), 0 8 0 7 0 0 7apple 0 0 4 0 0 0 (5) 0 9 0 0 0 0 0 0 : = = = 8 6с 8 C 4 = 0,5. 0 0 0 4 К 6 0 x + = ( C0,5) 6А6 8; y C 4 = ( C0.5) 6А6 ( C8), x + = C4, x = C, y C 4 = 4, y = 8. 6 0 З + b З = ( C4;8;), 6 0 З + b З = = 84 ж9,. ( C4) + 8 + =.. 0 5 6 0 0 0 0 8 6 5 0 0 0 0 0 7apple 0 8 6 0 З = 4i З + 4j З C k З, b З = i З C 4j З, c З = З j + З k. 0 4 6 0 0 6-0 0 9 0 0 7 0 7apple К 0 9 0 0 6 0 0 0 8 0 7apple 0 6 0 6 0 0, 0 0 7 0 7apple К 0 9 0 0 6 0 0 0 8 6 5 0 0 0 0 0 7apple 6 0 6 0 З C b З + c З, 0 8apple 0 7 0 0 0-0 0 9 0 9 6 5 0 0 0 0 0 7apple 6 0 6 0 З + b З 0 0 6 0 6 5 0 0 0 0 0 7apple З j. 0 0 0 4 0 0 0 0 0 9 0 0 apple 0 6 0 З 0 = (cos а; cos б; cos ц), 6 0 З = 6 + 6 + 4 = 6, cos а = 7 4 6 7 = = 7 7, cos б = 74 6 = 7 7, cos ц = 7 C 7 = C 7 6 7. 0 0 6 0 0 0 0 9 0, 6Ж9 6В 6 0 З 0 = ; ; C. 6В 6В4 0
6 0 З C b З + c З = (4 C ; 4 + 8 + ; C + ) = (;; C). 6 0 З + b З = (5;0; C), 0 0 7 6 7 К 6 0 0 8apple 0 7 0 0 0 0 0 9fl 6 5 0 0 0 0 0 7apple 6 0 6 0 З + b З 0 0 6 0 6 5 0 0 0 0 0 7apple З j apple 6 0 6 5 0 0 6 0 0. 0 5 0 0 0 0 0 7apple 6 0 З + b З 0 8 0 0apple 0 8 0 0 0 0 К 0 9 0 0 4 0 flapple 0 0 0 0 0 0 7 0 6 0 9 0 7apple К 0 9 0 0 6 0 0..4. 0 5 6 0 0 0 0 7: 0 5 (;7; C) 0 9 0 5 ( C;0;5), 0 0 7 0 0 0 0 9 M 0 9 N К 0 0 0 fl 0 0 7 0 apple 0 0 0 9 0 7 0 0 5 0 5 0 0 6 0 0 apple 0 9 apple 6 0 6 5 0 0 0 8 0 0 0 0 6 0 0 6 0 0 9. 0 4 6 0 0 6 0 0 9 0 0 7 0 7apple К 0 9 0 0 6 0 0 0 8 0 0 7 0 0 0 0 0 M 0 9 N. 0 0 0 4 0 0 0 0 0 9 0 0 BM 7 7 = 7 M C 7 = к, 7 B N 7 = 7 NC 7 = к. 0 5 0 7 0 6 0 8 0 7 0 0 0 0 9 0 4 0 0 0 0 6fl 0 0 7apple 0 0 4 0 0 7 0 6 (7): + 6А6( C ) + 6А6 xm = 7 4 C 6Ж9 6В = ym = = zm = = M 6В 6В4 + + 5 4,, +. ; ;. C 4 C + 0 6Ж9 4 6В xn = C, yn =, zn = =. N C ; ; + 6В. 6В4 = + 6А6( ).5. 0 5 0 0 0 0 0 7apple FD З + i З + 4k З, 0 ( C;5;). 0 4 6 0 0 6 0 0 9 0 0 7 0 7apple К 0 9 0 0 6 0 0 0 8 0 0 7 0 0-0 0 9 0 5..6. 0 0 7 0 8 0 0 0 0 0 9 6 5 0 0 0 0 0 7apple 0 6 0 7 0 6 0 6 0 6 5 0 fl 0 0 0 0 6 0 7 0 6fl 0 0 9 0 0 7 0 7apple К 0 9 0 0 6 0 0 0 4 6 7 0 0 8 0 Ц, 0 Ц, 60 Ц?.7. 0 0 7 6 7 0 4 0 0 0 9 6 5 0 0 0 0 0 7apple 0 8 6 0 З = (4;; C), b З = ( C;;), c З = (5;;), 0 8 0 0 0 0 6 0 0 7apple 0 7 0 0 6 0 0 0 9 0 apple 0 0 0 4 6 7 0 7 0 0 0 0 0 0 9 0 6 0?.8. 0 4 6 0 0 6 0 0 9 0 0 7 0 7apple К 0 9 0 0 6 0 0 0 8 6 5 0 0 0 0 0 7apple 6 0 m З 0, 0 0 0 6 0 0 9 m З = AB З C AC З, 0 ( C;;), 0 5 (4; C;6), 0 5 (0;0;4)..9. 0 5 6 0 0 0 0 8 6 5 0 0 0 0 0 7apple 0 8 6 0 З = i З C j З + 4k З, b З = Ci З C j З, c З = Ci З + + j З C 4k З. 0 4 6 0 0 6 0 0 9 К 0 0 9 0 0 0 4 0 9 0 0 6 0 0 8apple 6 0 6 5 0 fl 0 9 0 7 0 9 0 0 0 0 7 0 6 0 9 0 0 0 4 0 6 0 8 6 5 0 0 0 0 0 7apple 6 0 d З = 6 0 З C b З + 6c З..0. 0 9 6 5 0 0 0 6 0 0 0 0 8 0 0 7 0 7apple К 0 9 0 0 6 0 0 0 8 0 applefi 0 0 8 0 7 0 6 0 0 0 К 0 7 6 5 6 0 0 0 0 0 0 0 0 0 0 8 0 6 5 0 0apple 0 4 0 9 0 0 0 8 6 0apple 6 0 0 0 0 0 0 0 7 6 7apple 6 0 0 0 6 0 ABCD: 0 (; C;4), 0 5 (6;;6), 0 5 (8;5;0). 0 4 6 0 0 6 0 0 9 0 0 7 0 7apple К 0 9 0 0 6 0 0 0 8 0 0 0 0 0 6 5fiapple 0 0 7 0 6 6 5 0 0apple 0 4 0 9 0 0 0 8 D. 0 8apple 0 0 К 0 0 0 0 9 0 0 0 6 5 0 9 К 0 8 6 0apple 6 0 0 0 0 0 0 0 7-6 7apple 6 0 0 0 6 0 0 9 6 5 0 8 0 0 0 9 0 6 0 0 9 0 0 0 0 0 6 7 0 7 0 8 0 0 7 0 7 6 0 К 0 0.
0 5 0 0 0 0 0 4 0 0 0 5 0 0 0 5 0 0 0 4 0 0 0 5 0 5 0 7 0 4 0 0 0 4 0 0 0 0 0 5 0 0 7 0 5 0 0 0 0 5 0 5 0 6 0 0 flapple 0 0 0 8 0 0 8apple 0 7 0 9 0 9 6 5 0 0 К 0 0 0 0 0 9 0 0 0 К 6 5 0 4 0 6 5 0 0 0 0 0 7apple 0 7 6 5 6 0 З ы 0 З, b З ы 0 З 0 0 6 0 0 9 0 8-6 5 6 0 0 0 0 0 6fl 0 0 0 9 0 6 0 0 7, apple 6 0 6 5 0 0 0 7 0 0 0 8apple 0 7 0 9 0 9 6 5 0 0 К 0 0 0 0 0 9 0 9 0 0 7 К 0 4 0 0 0 0 6 6 5 0 0 0 0 0 7apple 0 7 6 5 0 0 6 0 0 0 7 0 6 0 9-0 0 0 4 0 6 0 4 6 7 0 6 0 0 0 0 0 8 К 0 4 0 0 0 9 0 0 9. 0 7 0 9 0 0 6 0 0 0 6 0 0 0 0 0 6fl: 6 0 З b З = 6 0 З 6А6 b З 6А6 cos ( 6 0 З^b З). 0 5 6 5 0 7 0 6 0 6 0 6 5 6 0 0 6 0 6 0 0 flapple 0 0 0 7 6 7 0 7 0 8apple 0 7 0 9 0 9 6 5 0 0 К 0 0 0 0 0 9fl. 6 0 З b З = b З 6 0 З ( 0 8 0 0apple 0 0 0 6 0 6 0 0 0 0 7 6 5 0 7 0 0 0 0 0 7 0 6 0 0 0).. к 6 0 З b З = ( к 6 0 З )b З = 6 0 З ( кb З ) ( 0 6 0 7 0 0 0 0 0 6 0 0 0 0 0 0 0 0 0 0 7 0 6 0 0 0 0 8 0 7 0 7 0 0 0 0 7 0 4 0 0 0 0 0 9 0 9 0 0 6 0 6 0-0 flapple 0 0 0 7 0 0 4 0 0 0 0 7 0 8 0 9 0 0 0 0 0 9).. 6 0 З (b З + З c ) = 6 0 З b З + 6 0 З З c (apple 6 0 0 6 0 8apple 0 0 К 0 0 0 0 9 0 0 0 0 0 0 0 0 0 7 0 6 0 0 0). 4. 6 0 З = 6 0 З 6 0 З = 6 0 З ( 0 6 0 6 0 0 flapple 0 0 0 8 0 6 0 6 5 6 0 Кapple 6 0 0 ). 5. 6 0 З b З = 6 0 З b З, 0 0 0 6 0 0 9 6 0 З Э Э b З 0 9 6 0 З b З = C 6 0 З b З, 0 0 0 6 0 0 9 6 0 З Э Щ b З. 6. 6 0 З b З = 0 6м 6 0 З мb З ( 0 4 0 6 0 0 7 6 5 0 9 0 0 0 8 0 0apple 0 8 0 0 0 0 К 0 9 0 0 4 0 flapple 0 0 0 7 0 6 0 0 9 К 6 5 0 4 0 6 5 0 0 0 0 0 7apple 0 7 6 5). 7. 6 0 З b З = b З З 6А6 0 8apple З b 6 0 = 6 0 З 6А6 0 8apple З a b З. З З r r 8. cos ( 6 0 З ^ ab b З) =. ab 0 9 0 0 9 r r З З ab ab 9. 0 0 0 6 0 0 9 6 0 З = (x ;y ;z ), b З = (x ;y ;z ) 0 0 7 6 0 З b З = x x + y y + z z. 0. 0 4 0 6 0 0 0 0 6 0 0 0 0apple 0 9 6 0 0 0 0 0 0 6 0fl 0 0 7 0 0 0 6 0 К 6 5 0 9 0 8 0 0 0 0 6fl 0 8applefl 0 0 7 0 0 9 0 0 0 0 0 6 0 0 0 7 0 8 0 7 К К 0 0 0 6 0 6 0 6 5 0 9 0 0 0 0 6 0 9 0 0 8 F З 0 9 0 9 0 0 7 0 0 0 0 9 0 6 5 0 0 7 0 0 0 0 4 0 5, 0 0 7 6 7 К 6 0 apple 6 0 0 7 0 6 0, 0 6 0 7 6 5 0 0apple 0 4 6 0-0 0 0 6 0fl 0 6 0 9 0 0 7 0 6 apple 6 0 6 5 0 0 6 0 A = F З 6А6 AB З. 6 0 К 6 0 0 0 0 9 К 0 fl 0 6 6 0 0 0 7 0 6 0 0 7fl 0 0 0 0 0 0 0 0 0 7 6 7 0 7 apple 0 0 0 4 0 0 0 0 0 9fl.. 0 5 0 0 0 0 0 7apple 0 8 6 0 З 0 9 b З 0 7 apple 6 0 0 9 0 4 0 9 0 0 4 6 7 0 7 0 0м = 7 7 п. 0 0 6 0fl, 0 0 0 0 7 6 0 З = 5, b З =, 6 5 0 8 0 0 0 9 0 6 0 0 9 0 0 0 ( 6 0 З + b З )( 6 0 З C b З ). 0 0 0 4 0 0 0 0 0 9 0 0 0 5 0 7 6 7 0 6 0 0 6 0 0 0 7 0 6 6 5 0 7 0 6 0 6 0 6 5 6 0 0 0 6 0 6 0 0 flapple 0 0 0 7 6 7 0 7 0 8apple 0 7 0 9 0 9 6 5 0 0 К 0 0 0 0 0 9fl:
( 6 0 З + b З )( 6 0 З C b З ) = 6 0 З + 5 6 0 З b З C b З = 6 0 З + 5 6 0 З b З cos ( 6 0 З^b З) C b З = = 6А6 5 + 5 6А6 5 6А6 cos 7 7 п C 6А6 9 = 75 C 75 6А6 7 C 7 = 0,5... 0 5 6 0 0 0 0 7: 6 0 З = 0 9 b З =, ( 6 0 З^b З) = 7 п 4 7. 0 4 6 0 0 6 0 0 9 6 0 З C b З. 0 0 0 4 0 0 0 0 0 9 0 0 0 6 0 8 0 7 0 0 0 0 9 0 4fl 0 6 6 5 0 7 0 6 0 6 0 6 5 6 0 0 6 0 6 0 0 flapple 0 0 0 7 6 7 0 7 0 8apple 0 7 0 9 0 9 6 5 0 0 К 0 0 0 0 0 9fl, 0 0 6 0 0 6 Кfi 0 : r r r r r rr r a C b a C b 9a ab 4b = ( ) = 6с + = = 9 6А6 C 6А6 6А6 cos п + 4 6А6 = 9 C 6А6 + 8 = 4.. 0 5 ABC: A (; C;4), B (; C;6), C (0; C;0). 0 4 6 0 0 6 0 0 9 cos A. 0 0 0 4 0 0 0 0 0 9 0 0 = 7 C = 5 ж,. cos A = AB 6А6 AC. AB 6А6 AC AB З = ( C; C;), AC З = ( C;0; C4), AB З 6А6 AC З = ( C) 6А6 ( C) + ( C) 6А6 0 + 6А6 ( C4) = C. AB = 4 + + 4 =, AC = 9 + 0 + 6 = 5. C 0 7 6 7 К 6 0 cos A = 7 7 = C 7 7. 6А65 5.4. 0 4 6 0 0 6 0 0 9 0 8apple 0 7 0 0 0 0 0 9 0 9 6 5 0 0 0 0 0 7apple 6 0 6 0 З + b З 0 0 6 0 6 5 0 0 0 0 0 7apple 6 0 З, 0 0 0 6 0 0 9 6 0 З = (; C;4), b З = (;0; C).
0 0 0 4 0 0 0 0 0 9 0 0 6 0 З + b З = (+; C+0;4 C) = (4; C;); 6 0 З = 9 + + 6 = 6; ( 6 0 З + b З ) 6А6 6 0 З = 4 6А6 + ( C) 6А6 ( C) + 6А6 4 = + + 4 = 7; r r r ( a+ b) 6А6 a З 0 8apple З a ( 6 0 + b З ) = r = 7 a 6..5. 0 6 0 0 0 4 0 9 apple 6 0 0 7 0 0 4 0 8apple 0 7 0 9 0 9 6 5 0 7 К 0 9 0 apple 6 0 6 5 0 0 0 7 К 0 0 0 6 0 6 0 6 5 0 4 0 9 0 7 6 0fl К 6 5 0 4 0 0 6 0 9 0 F З = ( C;4;) 0 9 F З = (5;-5; C5), 0 0 7 6 7 К 6 0 0 0 7 0 0 0 6 0 0 8apple 0 9 0 0 7 0 8 0 0 0 0 0 9fl 0 0 0 9 0 0 6 0 9 0, К 6 5 0 9 6 7 6 0fl 0 6 0 0 0 8applefl 0 0 7 0 0 9 0 0 0 0 0 6 0 0 0 7, 0 8 0 0apple 0 0 0 0 0 0 7 6 0 0 0 0 0 6fl 0 9 0 9 0 0 7 0 0 0 0 9 0 (; C;) 6 5 0 0 7 0 0-0 0 4 0 5 (5; C6;)? 0 0 0 4 0 0 0 0 0 9 0 0 6 0 6 5 0 0 0 7 К 0 0 0 6 0 6 0 6 5 0 4 0 9 0 7 6 0fl 0 6 0 9 0 F З + F З + F З = ( C+5;4 C5; C5) = = (; C; C4). 0 0apple 0 0 0 0 0 0 7 0 0 0 0 0 9 0 0 AB З = (5 C; C6 C( C); C) = (4; C4; C). 6 0 0 7 0 6 0 A = F З 6А6 AB З = 6А6 4 + ( C) 6А6 ( C4) + ( C4) 6А6 ( C) = 8 + 4 + 8 = 0..6. 0 5 0 8 0 0 0 9 0 6 0 0 9 0 0 0 0 6 0 6 0 0 flapple 0 0 0 7 0 0 0 8apple 0 7 0 9 0 9 6 5 0 0 К 0 0 0 0 0 9 0 0 6 5 0 0 0 0 0 7apple 0 7 6 5 p З 0 9 q З, 0 9 0 0 6 0fl 0 9 0 apple 6 0 0 9 0 0 7 0 8 0 0 0 0 0 9 0 0 0 8 0 7 0 applefi 0 6 5 0 9 6 0 0 9 0 0 0 0 7 0 8 0 0apple 0 8 0 0 0 0 К 0 9 0 0 4 0 flapple 0 0 0 8 0 6 5 0 0 0 0 0 7apple 6 0 0 6 0 З, b З, c З : p З = 6 0 З + b З C c З, q З = 6 0 З + 4b З C 5c З. apple 0 9 0 0 0 7 0 6 0 З =, b З =, c З =. 0 6 5 0 0 0 : C4..7. 0 4 6 0 0 6 0 0 9 0 7 0 6 0 apple 0 8 0 6 0 4 6 7 0 7 0 0 0 0 0 8 К 0 4 К 0 9 6 0 6 7 0 7 0 0 6 0 0 fl 0 0 9 0 8 6 0apple 6 0 0 0 0 0 0 0 7 6 7apple 6 0 0-0 6 0, 0 8 0 7 0 6 0 apple 0 7 0 0 0 0 0 0 0 7 6 7 0 7 0 0 6 0 6 5 0 0 0 0 0 7apple 6 0 0 AB З 0 9 AC З, 0 0 0 6 0 0 9 A (;4;), B (4;4;), C (6;6;). 0 6 5 0 0 0 : cos 0м =..8. 0 5 0 0 0 0 0 7apple 0 8 6 0 З 0 9 b З 6 5 0 9 6 0 0 9 0 0 0 0 7 0 8 0 0apple 0 8 0 0 0 0 К 0 9 0 0 4 0 flapple 0 0 0 8. 0 4 6 0 0 6 0 0 9 0 0 7 0 7apple- К 0 9 0 0 6 0 0 0 8 6 5 0 0 0 0 0 7apple 6 0 6 0 З + b З, 0 0 0 6 0 0 9 6 0 З = (; C4;), b З = (5;;z). 0 6 5 0 0 0 : (8;0; C). 4
.9. 0 4 6 0 0 6 0 0 9 0 8apple 0 7 0 0 0 0 0 9 0 9 AB З 0 0 6 0 MN З, 0 0 0 6 0 0 9 A (;5; C), B (6;9;6), M (;5; C5), N (5;5; C). 0 6 5 0 0 0 : 4,6..0. 0 6 0 0 0 4 0 9 apple 6 0 0 7 0 0 4 0 6 0 7 6 5 0 0apple 0 4 0 9 0 0 6 0 9 0 6 0 F З = ( C;; C5) 0 8apple 0 9 0 8 0 0apple 0 0 0 0 0-0 7 0 0 0 0 0 9 0 9 0 6 0 0 0 0apple 0 9 6 0 0 0 0 0 0 0 7 0 6 0 0 7 0 0 0 0 9 0 9 0 9 0 0 7 0 0 0 0 9 A (; C5;7) 6 5 0 0 7 0 0 0 0 4 B (;0;6)? 0 6 5 0 0 0 :. 0 5 0 0 0 0 4 0 0 0 5 0 0 0 5 0 0 0 4 0 0 0 5 0 5 0 7 0 4 0 0 0 4 0 0 0 0 0 5 0 0 7 0 5 0 0 0 0 5 0 5 0 0 0 0 0 7apple 0 0 0 8 0 0 8apple 0 7 0 9 0 9 6 5 0 0 К 0 0 0 0 0 9 0 0 0 К 6 5 0 4 0 6 5 0 0 0 0 0 7apple 0 7 6 5 6 0 З 0 9 b З 0 0 6 0 0 9 0 8 6 5 6 0 0 0 0 0 6fl 6 5 0 0 0 0 0 7apple c З, 0 6 0 0 0 7 0 6, 0 0 0 0 7: ) c З 0 8 0 0apple 0 8 0 0 0 0 К 0 9 0 0 4 0 flapple 0 0 0 0 0 8 0 0 7 0 6 0 0 7 0 6 0 0 9 6 5 0 0 0 0 0 7apple 0 7 6 5 6 0 З 0 9 b З, 0. 0 0. c З м 6 0 З 0 9 c З мb З ; ) c З 0 9 0 0 0 0 0 0 К 0 0 9 0 0 0 4, apple 6 0 6 5 0 0 0 4 0 9 c З = 6 0 З 6А6 b З 6А6 sin ( 6 0 З^b З ); ) 6 5 0 0 0 0 0 7apple 0 8 6 0 З, b З 0 9 c З 0 7 apple 6 0 0 9 0 4 0 9 0 0 8apple 6 0 6 5 0 4 0 9 0 apple 0 7 0 6 0 0 4. 0 5 0 0 0 0 0 7apple 0 0 0 7 0 0 0 8apple 0 7 0 9 0 9 6 5 0 0 К 0 0 0 0 0 9 0 0 0 7 0 7 0 9 0 0 6 0 0 0 6 0 0 0 0 0 6fl 6 0 З а b З 0 9 0 0 9 6В7 6 0 З, b З 6Ь0. 0 5 6 5 0 7 0 6 0 6 0 6 5 6 0 6 5 0 0 0 0 0 7apple 0 0 0 7 6 7 0 7 0 8apple 0 7 0 9 0 9 6 5 0 0 К 0 0 0 0 0 9fl. apple 0 9 0 8 0 0apple 0 0 0 6 0 6 0 0 0 0 7 6 5 0 0 0 0 6 0 7 0 0 0 0 7 0 8 0 9 0 0 0 0 0 0 0 6 6 5 0 0 0 0 0 7apple 0 0 0 7 0 0 0 8apple 0 7 0 9 0 9 6 5 0 0 К 0 0 0 0 0 9 0 0 0 0 0 0 0fl 0 0 0 0 9 0 0 6 0 0, 0. 0 0. 6 0 З а b З = C(b З а 6 0 З ).. к( 6 0 З а b З ) = ( к 6 0 З )b З = 6 0 З а ( кb З ) ( 0 6 0 7 0 0 0 0 0 6 0 0 0 0 0 0 0 0 0 0 7 0 6 0 0 0 0 8 0 7 0 7 0 0 0 0 7 0 4 0 0 0 0 0 9 0 9 0 0 6 0 6 0 0 flapple 0 0 0 7 0 0 4 0 0 0 0 7 0 8 0 9 0 0 0 0 0 9);. 6 0 З b З 6м 6 0 З а b З = 0 З ; 6 0 З а 6 0 З = [ 6 0 З ] = 0 З. 4. ( 6 0 З а b З ) а З c = 6 0 З а З c + b З а З c. 5. 0 5 0 0 9 0 0 6 0 6 5 0 0 0 0 0 7apple 0 0 0 7 6 7 0 7 0 8apple 0 7 0 9 0 9 6 5 0 0 К 0 0 0 0 0 9fl 0 0 0 9 0 6 0 0 0 0 0 0 0 0 7 apple 6 0 6 5 0 0 6 0 0 8 0 0 7-0 7 6 0 К 0 9 0 8 6 0apple 6 0 0 0 0 0 0 0 7 6 7apple 6 0 0 0 6 0, 0 8 0 7 0 6 0 apple 0 7 0 0 0 0 0 0 0 7 6 7 0 7 0 0 6 0 6 5 0 0 0 0 0 7apple 6 0 0 6 0 З 0 9 b З. 0 0 7 0 7 6 0 К 0 0 0 apple 0 0 0 4 6 7 0 7 0 0 0 0 0 0 9 0 6 0, 0 8 0 7 0 6 0 apple 0 7 0 0 0 0 0 0 0 7 6 7 0 7 0 0 6 0 6 5 0 0 0 0 0 7apple 6 0 0 6 0 З 0 9 b З : S = 7 7 6 0 З а b З. 5
6. 0 0 0 6 0 0 9 6 5 0 0 0 0 0 7apple 0 8 6 0 З = x i З + y З j + z З k 0 9 b З = x i З + y З j + z З k, r r r i j k 0 0 7 6 0 З а b З = x y z. x y z 7. 0 4 0 6 0 0 0 6 5 0 0 7 0 0 0 0 0 0 0 8apple 0 9 0 0 7 0 8 0 0 0 0 6 0 0 6 0 9 0 6 0 F З = AB З 0 9 O 0 0 0 0 0 0 7 0 0 7apple 6 0fl 0 0 7 0 0 0 6 0 0 8apple 0 7 0 6 0 apple 6 0 0 0 0 6 0 6 5 6 0, 0 0 7 6 7 К 6 0 0 0 7 0 0 0 0 0 0 0 6 0 9 0 0 8 F З 0 7 0 0 0 0 7 0 6 0 9 0 0 0 0 0 0 0 0 0 7 0 0 7 0 0 0 0 9 O apple 6 0 6 5 0 0 0 0 M З = OA З а F З. 6 0 К 6 0 0 0 0 9 К 0 fl 0 6 6 0 0 0 7 0 6 0 0 7fl 0 0 0 0 0 0 0 0 0 7 6 7 0 7 apple 0 0 0 4 0 0 0 0 0 9fl 4.. 0 5 0 0 0 0 0 7apple 0 8 6 0 З 0 9 b З 0 7 apple 6 0 0 9 0 4 0 9 0 0 4 6 7 0 7 0 0м = 7 7 п. 0 0 6 0fl, 0 0 0 0 7 6 0 З = 5, b З =, 6 5 0 8 0 0 0 9 0 6 0 0 9 0 0 0 6 0 З а b З. 0 0 0 4 0 0 0 0 0 9 0 0 п 6 0 З а b З = 6 0 З 6А6 b З 6А6 sin 5 = = 75,. 4.. 0 5 0 8 0 0 0 9 0 6 0 0 9 0 0 0 0 8 0 0 7 0 7 6 0 К 0 0 0 apple 0 0 0 4 6 7 0 7 0 0 0 0 0 0 9 0 6 0 0 0 5 0 5, 0 0 0 6 0 0 9 A (; C4;), B (8;0;7), 0 5 (; C;4). 0 0 0 4 0 0 0 0 0 9 0 0 0 5 0 7 0 6 0 8 0 7 0 0 0 0 9 0 4 0 0 0 0 6fl 0 6 6 5 0 7 0 6 0 6 0 6 5 6 0 0 0 9 (5) 0 9 (6). 0 0 5 0 5 0 8 0 7 0 6 0 apple 0 7 0 0 0 0 0 0 6 0 6 5 0 0 0 0 0 7apple 6 0 0 AB З З = (7;4;4) 0 9 AS = (;;), 0 0 7 6 7 К 6 0 r r r i j k S 0 0 5 0 5 = 7 7 AB З а AC З 6А6 AB З а AC З = 7 4 4. AB З а AC З = (4 C 8)i З C (7 C 8) j З + (4 C 8)k З = C4i З + j З + 6k З, ( ) + + = 0 0 7 6 7 К 6 0 S 0 0 5 0 5 = 7 7 AB З а AC З = C4 6 5. 6
4.. 0 4 6 0 0 6 0 0 9 ( 6 0 З + 5b З )( 6 0 З C 5b З ). 0 0 0 4 0 0 0 0 0 9 0 0 0 6 0 8 0 7 0 0 0 0 9 0 4fl 0 6 6 5 0 7 0 6 0 6 0 6 5 6 0 6 5 0 0 0 0 0 7apple 0 0 0 7 6 7 0 7 0 8apple 0 7 0 9 0 9 6 5 0 0 К 0 0 0 0 0 9fl, 0 8 0 7 0 0 4 0 0 0 9 0 : ( 6 0 З + 5b З )( 6 0 З C 5b З ) = 6 6 0 З а 6 0 З C 5 6 0 З а b З + 0b З а 6 0 З C 5b З а b З = = 0 C 5 6 0 З а b З C 0 6 0 З а b З C 0 = C 5 6 0 З а b З = 5b З а 6 0 З. 4.4. 0 5 0 8 0 0 0 9 0 6 0 0 9 0 0 0 0 0 7 0 7apple К 0 9 0 0 6 0 0 0 8 0 0 7 0 0 0 0 0 0 6 0 M З 0 6 0 9 0 0 8 F З = (5; C;4), 0 8apple 0 9 0 0 7 0 8 0 0 0 0 0 0 0 7 0 6 0 0 0 7 0 0 0 0 0 0 ( C;; C) 0 7 0 0 0 0 7 0 6 0 9 0 0 0 0 0 0 0 0 0 7 0 0 7 0 0 0 0 9 O (;;0). 0 0 0 4 0 0 0 0 0 9 0 0 0 5 0 7 0 6 0 8 0 7 0 0 0 0 9 0 4 0 0 0 0 6fl 0 6 6 5 0 7 0 6 0 6 0 6 5 0 7 0 (7): M З = OA З а F З. OA З = (;;), 0 0 7 6 7 К 6 0: r r r i j k C = C 4i З C j З + 4k З. 0 0 7 0 0 0 0 0 0 M З = ( C 4; C ;4). 5 C 4 4.5. 6 0 0 6 0 apple 0 8 0 0 0 0 6 0 0 7 0 0 9 0 9 0 4 0 8apple 0 7 0 6 0 0 9 0 0 0: i З (j З + k З ) + 4(i З + k З )i З C C 5k З (k З + i З ). 0 6 5 0 0 0 : C j З. 4.6. 0 4 6 0 0 6 0 0 9 0 0 7 К 0 4 0 0 0 6 5 0 0 0 0 0 7apple 6 0 c З = ( 6 0 З + b З )( 6 0 З C b З ), 0 0 0 6 0 0 9 6 0 З =, b З = 4, cos ( 6 0 З^b З ) = 0,6. 0 6 5 0 0 0 : 69,. 4.7. 0 5 0 8 0 0 0 9 0 6 0 0 9 0 0 0 0 8 0 0 7 0 7 6 0 К 0 0 0 apple 0 0 0 4 6 7 0 7 0 0 0 0 0 0 9 0 6 0 0 0 5 0 5, 0 0 0 6 0 0 9 A (4; C;5), B (;; C), 0 5 (6;;). 0 6 5 0 0 0 : 8. 4.8. 0 0 0 7 0 0 0 0 0 0 (; C;) 0 8apple 0 9 0 0 7 0 8 0 0 0 0 0 8 К 6 5 0 0 0 6 0 9 0 0 8 F З = ( C;4;) 0 9 F З = (0; C; C), 0 0 6 0 0 6 0 0 9 0 0 7 0 7apple К 0 9 0 0 6 0 0 0 8 0 0 7 0 0 0 0 0 0 6 0 M З 0 0 0 9 0 0 6 0 9 0 0 7 0 0 0 0 7 0 6 0 9-0 0 0 0 0 0 0 0 0 7 0 0 7 0 0 0 0 9 (; C;0). 0 6 5 0 0 0 : M З = (;4;). 7
0 5 0 0 0 0 0 4 0 4 0 0 0 5 0 0 0 5 0 0 0 4 0 0 0 5 0 0 0 0 5 0 5 0 0 0 0 4 6 0 0 0 0 0 0 8 0 ( 6 5 0 0 0 0 0 7apple 0 0 0 7-0 6 0 6 0 0 flapple 0 0 0 8 0 ) 0 8apple 0 7 0 9 0 9 6 5 0 0 К 0 0 0 0 0 9 0 0 0 6 5 0 0 0 0 0 7apple 0 7 6 5 6 0 З, b З 0 9 c З 0 0 6 0 0 9 0 8 6 5 6 0 0 0 0 0 6fl 0 0 0 9 0 6 0 0 7, 0 6 0 7 0 6 0 6 0 6 5 0 0 0 0 0 0 0 0 7 0 0 0 8 0 7 0 8apple 6 0 6 5 0 9 0 0 4 ( 6 0 З а b З )c З. 0 7 0 9 0 0 6 0 0 0 6 0 0 0 0 0 6fl: 6 0 З b З c З = ( 6 0 З а b З )c З. 0 5 6 5 0 7 0 6 0 6 0 6 5 6 0 0 6 0 0 0 0 4 6 0 0 0 0 0 0 7 6 7 0 7 0 8apple 0 7 0 9 0 9 6 5 0 0 К 0 0 0 0 0 9fl. 0 5 0 0 0 0 4 6 0 0 0 0 0 0 7 0 0 0 8apple 0 7 0 9 0 9 6 5 0 0 К 0 0 0 0 0 9 0 0 0 0 0 0 0 0 0 0 0fl 0 0 0 0 6fl 0 8apple 0 9 0 8 0 0apple 0 0 0 6 0 6 0-0 0 0 7 6 5 0 0 0 0 0 0 0 6 0 6 0 0 0 9 0 9 0 0 6 0 0 0 7 6 5 6 5 0 0 0 0 0 7apple 0 0 0 7 6 7 0 7 0 9 0 6 0 6 0 0 flapple 0 0 0 7 6 7 0 7 0 8apple 0 7 0 9 0 9 6 5 0 0 К 0 0 0 0 0 9 0 6: ( 6 0 З а b З )c З = 6 0 З (b З а З c ).. ( 6 0 З а b З )c З = (b З а З c ) 6 0 З = (c З а 6 0 З )b З.. 0 5 0 0 0 0 4 6 0 0 0 0 0 0 7 0 0 0 8apple 0 7 0 9 0 9 6 5 0 0 К 0 0 0 0 0 9 0 0 0 0 0 0 0fl 0 0 0 0 6 6 5 0 7 0 6 0 9 0 0 6 0 0 0 8apple 0 9 0 8 0 0apple 0 0 0 0 0 0 0 0 0 0 0 0 0 6 0 0 0 9 0 8 0 К 6 5 0 4 0 6 5 0 0 0 0 0 7apple 0 7 6 5 0 6 0 7 0 0 0 0 7 0 8 0 9 0 0 0 0 0 0 0 6: 6 0 З b З З c = C 6 0 З З c b З, 6 0 З b З З c = = Cb З 6 0 З З c, 6 0 З b З З c = Cc З b З 6 0 З. 4. 0 5 0 0 0 0 4 6 0 0 0 0 0 0 7 0 0 0 8apple 0 7 0 9 0 9 6 5 0 0 К 0 0 0 0 0 9 0 0 0 0 0 0 0 0 0 4 0 0 0 6 5 0 8 0 6 5 0 0 0 0 0 7apple 0 7 6 5 6 0 З, b З 0 9 З c apple 6 0 6 5 0 0 0 7 0 0 0 4 0 0 9 0 0 7 6 7 К 6 0 0 9 0 0 7 0 0 0 0 0 7 0 0 7 6 7 К 6 0, 0 0 7 6 7 К 6 0 0 7 0 0 0 9 0 0 7 0 0 8 0 6 0 0 0 6 0apple 0 0 0 8: 6 0 З b З З c = 0 6м 6 0 З, b З, З c 0 0 7 0 0 8 0 6 0 0 0 6 0apple 0 0 0 8. 5. 0 0 7 К 0 4 0 0 0 0 6 0 0 0 0 4 6 0 0 0 0 0 0 7 6 7 0 7 0 8apple 0 7 0 9 0 9 6 5 0 0 К 0 0 0 0 0 9fl 6 5 0 0 0 0 0 7apple 0 7 6 5 0 0 0 9 0 6 0 0 0 0 0 0 0 0 7 apple 6 0-6 5 0 0 0 0 0 7 Bfi 0 0 4 0 8 6 0apple 6 0 0 0 0 0 0 0 0 0 8 0 9 0 8 0 0 К 6 0 V, 0 8 0 7 0 6 0 apple 0 7 0 0 0 0 0 0 0 7 6 7 0 7 0 0 6 0 6 5 0 0 0 0 0 7apple 6 0 0 6 0 З, b З 0 9 З c : V = 6 0 З b З З c. V = 7 6 7 6 0 З b З З c 0 7 Bfi 0 0 8 0 9apple 6 0 0 0 9 К 0 8, 0 8 0 7 0 6 0 apple 0 7 0 0 0 0 0 0 0 7 0 6 0 0 6 0 6 5 0 0 0 0 0 7apple 6 0 0 6 0 З, b З 0 9 З c. З c 6. 0 0 0 6 0 0 9 6 5 0 0 0 0 0 7apple 0 8 6 0 З = x i З + y З j + z З k, b З = x i З + y З j + z З k 0 9 = x i З + y З j + z З k, x y z 0 0 7 6 7 К 6 0 6 0 З b З З c = x y z. x y z 6 0 К 6 0 0 0 0 9 К 0 fl 0 6 6 0 0 0 7 0 6 0 0 7fl 0 0 0 0 0 0 0 0 0 7 6 7 0 7 apple 0 0 0 4 0 0 0 0 0 9fl 5.. 0 4 6 0 0 6 0 0 9 0 6 0 0 0 0 4 6 0 0 0 0 0 0 7 0 0 0 8apple 0 7 0 9 0 9 6 5 0 0 К 0 0 0 0 0 9 0 0 6 5 0 0 0 0 0 7apple 0 7 6 5 6 0 З = i З + j З C k З, b З = i З C j З + 4k З 0 9 c З = j З C k З. 8
0 0 0 4 0 0 0 0 0 9 0 0 x y z 6 0 З b З З c = x y z = C 4 = ( C 4) C ( C) C () = x y z 0 C = C + C = C. 5.. 0 7 0 6 0 0 9 6 0 0 0 0, 0 0 0 0 7 6 5 0 0 0 0 0 7apple 0 8 6 0 З = (;; C), b З = (;;), c З = (;5;7) 0 0 7 0 0 8 0 6 0 0 0 6 0apple 0 0 0 8. 0 0 0 4 0 0 0 0 0 9 0 0 6 0 З b З c З = 0 6м 6 0 З, b З, c З 0 0 7 0 0 8 0 6 0 0 0 6 0apple 0 0 0 8. C C 6 0 З b З З c = = (4 C 0) C (7 C 4) C (5 C 4) = 5 7 = 4 C C = 0.. 0. 6 0 З b З c З = 0, 0 0 7 0 9 6 0 К 6 0 0 0 0 0 0 8 0 0 6 5 0 0 0 0 0 7apple 0 8 0 0 7 0 0 8 0 6 0 0 0 6 0apple 0 0 0 8. 5.. 0 4 6 0 0 6 0 0 9 0 7 Bfi 0 0 apple 0 0 0 4 6 7 0 7 0 0 0 0 0 0 7 0 6 0 8 0 9apple 6 0 0 0 9 К 0 8 0 6 6 5 0 0apple 0 4 0 9 0 0 6 0 0 0 9 S (5;; C), A (;; C), B (;0;), 0 5 (4; C;). 0 0 0 4 0 0 0 0 0 9 0 0 0 4 6 0 0 6 Кfi 0 0 0 7 0 7apple К 0 9 0 0 6 0 0 0 8 6 5 0 0 0 0 0 7apple 0 7 6 5 AB З, AC З З, AS, 0 6 0 7 6 5 0 8 6 0 К 6 0 0 9 0 7 0 9 0 0 0 6 applefi- apple 6 0 0 0 9 0 8 0 9apple 6 0 0 0 9 К 0 8, 0 6 0 0 7 Кfl 0 7 0 9 0 0 9 0 6fl 6 5 0 7 К 0 0 0 7 0 6 0 0 7 0 0 0 0 0. AB З = (; C;), AC З З = (; C4;), AS = ( C; C;). V = 7 6 7 6 0 З b З c З 0 7 Bfi 0 0 8 0 9apple 6 0 0 0 9 К 0 8, 0 8 0 7 0 6 0 apple 0 7 0 0 0 0 0 0 0 7 0 6 0 0 6 0 6 5 0 0 0 0 0 7apple 6 0 0 6 0 З, b З 0 9 c З. C 6Ж9 6В V = 4 = 6В0 6А6 + 6А6 + 6А6 6 6 6В 6В C 4 C C 4 C C 6В4 = C 9
= ( + ) = 6 C 8 4 6. 5.4. 0 0 0 0 0 8 6 0 0 0 0 9 0 0 7 0 0 0 0 9 0 ( C;;), B (0;; C4), C (;;) 0 9 D (; C4;0) 6 5 0 7 К 0 0 0 7 0 6 0 8 0 0 7 0 6 0 0 7 0 6 0 0 9? 0 0 0 4 0 0 0 0 0 9 0 0 0 0 0 6 0 0 9 6 5 0 0 0 0 0 7apple 0 8 AB З, AC З, AD З 0 0 7 0 0 8 0 6 0 0 0 6 0apple 0 0 0 8, 0 0 7 0 0 7 0 0 0 0 9 A, B, C, D 0 0 0 0 8 6 0 0 6 5 0 7 К 0 0 0 7 0 6 0 8 0 0 7 0 6 0 0 7 0 6 0 0 9. AB З = (;; C5), AC З = (5;;), AD З = (5; C5; C). 0 5 0 8 0 0 0 9 0 6 0 0 9 0 : C 5 AB З а AC З а AD З = 5 = 0 + 50 = 60 ы 0, 0 6 0 0 0 К 0 7 6 5 6 0 0 0 0 0 0 0 0 0 0 7, 5 C 5 C 0 0 7 0 0 0 0 9 A, B, C, D 0 0 0 0 0 0 0 0 8 6 0 0 6 5 0 7 К 0 0 0 7 0 6 0 8 0 0 7 0 6 0 0 7 0 6 0 0 9. 5.5. 0 7 0 6 0 0 9 6 0 0 0 0, 0 0 0 0 7 6 5 0 0 0 0 0 7apple 0 8 6 0 З = (;;4), b З = (; C;0), c З = (; C;4) 0 0 7 0 0 8 0 6 0 0 0 6 0apple 0 0 0 8, 0 9 0 0 6 0 0 6 0 0 9 0 0 9 0 0 0 0 0 6 0 0 0 4 0 9 0 9 6 0 6 5 0 9 0 6 0 9 0 0 7 0 6 0 0 0 0 0 0 0 8 К 0 4 0 0 0 9 0 0 9. 0 0 0 4 0 0 0 0 0 9 0 0 4 6 0 З b З З c = C 0 = ( C8) C 6А6 4 + 4 6А6( C + 6) = C 8 C 4 + = 0, C 4 0 9 0 0 6 0 0 0 0 9 0 6 5 0 0 0 0 0 7apple 0 8 6 0 З, b З 0 9 З c 0 0 7 0 0 8 0 6 0 0 0 6 0apple 0 0 0 8. 0 5 0 0 0 0 0 7apple 0 8 6 0 З 0 9 b З 0 7 apple 6 0 0 9 0 4 0 9 0 6 0 0 9 0 9 0 6, 0 0 7 6 7 К 6 0 c З = m 6 0 З + nb З ; m 6 0 З = (m;m;4m), nb З = (n; C;0). m 6 0 З + nb З = (m + n; m C n;4m). 6Ьm+ n= c З 6Ь4 = (; C,4) 6м0 6Ьm C n= C 6м0 m=, n=. 0 7 6 7 К 6 0 З c = 6 0 З + b З. 6Ь4 6Ь4m = 4 5.6. 0 5 0 8 0 0 0 9 0 6 0 0 9 0 0 0 0 7 Bfi 0 0 8 6 0apple 6 0 0 0 0 0 0 0 0 0 8 0 9 0 8 0 0 К 6 0, 0 8 0 7 0 6 0 apple 0 7 0 0 0 0 0 0 0 7 6 7 0 7 0 0 6 0 6 5 0 0 0 0 0 7apple 6 0 0 6 0 З = (0;;5), b З = (;4;0), c З = (0; C;). 0 6 5 0 0 0 : V = 5. 0
5.7. 0 4 6 0 0 6 0 0 9 6 5 0 8 0 6 0 7 0 0 4 0 8 0 9apple 6 0 0 0 9 К 0 8, 0 7 0 8 0 4 0 7 0 0 0 0 0 0 0 4 0 9 0 9 0 9 6 5 0 0apple 0 4 0 9 0 0 0 8 D (;0;0) 0 0 6 0 0 8 0 0 7 0 6 0 0 7 0 6 0 0 0 0 apple 0 0 0 4 6 7 0 7 0 0 0 0 0 0 9 0 6 0 0 0 5 0 5, 0 0 0 6 0 0 9 0 (0;;0), 0 5 (0;0;6), 0 5 (;;8). 0 6 5 0 0 0 :. 5.8. 0 7 0 6 0 0 9 6 0 0 0 0, 0 0 0 0 7 6 5 0 0 0 0 0 7apple 0 8 6 0 З = ( C;;0), b З = (;; C), = (6; C4;) 0 7 apple 6 0 0 9 0 4 0 9 0 6 0 0 9 0 9 0 6 0 9 apple 6 0 0 9 0 0 7 0 8 0 9 0 0 0 6 5 0 0 0 0 0 7apple d З = (; C;) 6 5 0 0 0 7 0 6 0 0 9 0 9 0 6 0 0. 0 6 5 0 0 0 : d З = 6 0 З C b З + З c. З c
. 0 0 0 0 0 4 0 5 0 5 0 5 0 0 0 0 4 0 0 0 0 5 0 0 0 4 0 0 0 0 5 0 0 4 ( 0 5 ) 6 5 6 0apple 0 9 6 0 0 0 0. 0 4 6 0 0 6 0 0 9 0 0 0 0 0 9 0 9 6 5 0 0 0 6 0 0 0 0 8 0 0 0 0 7 0 7apple К 0 9 0 0 6 0 0 0 8 0 9 0 0 6 0 0 8apple 6 0 6 5 0 fl 0 9 0 7 0 9 0 0 0 0 7 0 6 0 9 0 0 0 4-0 6 0 8 6 5 0 0 0 0 0 7apple 6 0 З c = (,y,z), 0 0 0 6 0 0 9 0 7 0 0 0 0 7 0 0 0 9 0 0 0 0 6 0apple 0 0 0 0 6 5 0 0 0 0 0 7apple 0 4 AB З, 6 7 К 0 0 0 ( C,,4), 0 5 (,0,).. 0 5 6 0 0 0 0 apple 0 0 0 4 6 7 0 7 0 0 0 0 0 0 9 0 0 0 5 0 5: 0 5 (,, C), 0 5 (4, C5,),. 0 4 6 0 0 6 0 0 9: 6 0) 0 0 7-0 7apple К 0 9 0 0 6 0 0 0 8 0 0 7 0 0 0 0 9 0, ) 0 4 6 7 0 7 0 0 8apple 0 9 6 5 0 0apple 0 4 0 9 0 0 0 0 0, 6 5) К 0 0 9 0 0 0 4 6 5 0 8 0 6 0 7 0 0 8, 0 7 0 8 0 4-0 7 0 0 0 0 0 0 0 7 0 6 0 9 0 9 6 5 0 0apple 0 4 0 9 0 0 0 8 0.. 0 5 6 0 0 0 0 8 0 6 0 9 0 0 8 F З = (4, C,) 0 9 F З = (,, C), 0 8apple 0 9 0 0 7 0 8 0 0 0 0 0 0 0 8 0 0 0 0 0 7 0 0-0 0 0 0 (, C4,5). 0 8apple 0 0 К 0 0 0 0 9 0 0 0 6 5 0 0 0 0 9 0 0 0 9 0 0 0 4 0 9 0 0 6 0 0 8apple 6 0 6 5 0 fl 0 9 0 7 0 9 0 0 0 0 7 0 6 0 9 0 0 0 4 0 6 0 8 0 0 7 0 0 0 0 0 0 6 0 apple 6 0 6 5 0 0 0 7 К 0 0 0 6 0 6 0 6 5 0 4 0 9 0 7 0 0 0 6 0 0 0 9 0 0 6 0 9 0 0 7 0 0 0 0 7 0 6 0 9 0 0 0 0 0 0 0 0 0 7 0 0 7 0 0 0 0 9 (, C,). 4. 0 7 0 6 0 0 9 6 0 0 0 0, 0 0 0 0 7 6 5 0 0 0 0 0 7apple 0 8 m З = (,4,6), n З = (, C; C), p З = (, C5,) 0 0 0 0 0 0 7 0 0 8 0 6 0 0 0 6 0apple 0 0 0 8, 0 9 apple 6 0 0 9 0 0 7 0 8 0 9 0 0 0 6 5 0 0 0 0 0 7apple 6 0 З = (,5,) 0 8 0 7 6 5 0 0 0 0 0 7apple 6 0 0 m З, n З, p З. 5. 0 5 0 8 0 0 0 9 0 6 0 0 9 0 0 0 0 7 Bfi 0 0 8 0 9apple 6 0 0 0 9 К 0 8 0 0 0 0 4, 0 0 0 6 0 0 9 0 (, C,), 0 ( C,, C), 0 ( C, C,), 0 4 ( C,0,4). 6 5 6 0apple 0 9 6 0 0 0 0. 0 4 6 0 0 6 0 0 9 0 0 6 0 0 8apple 6 0 6 5 0 fl 0 9 0 7 0 9 0 0 0 0 7 0 6 0 9 0 0 0 4 0 6 0 8 6 5 0 0 0 0 0 7apple 6 0 6 0 З = AB З C CD З, 0 0 0 6 0 0 9 0 (,,), 0 5 ( C,, C), 0 5 (, C,), D ( C,0, C4).. 0 5 6 0 0 0 0 8 6 0apple 6 0 0 0 0 0 0 0 7 6 7apple 6 0 0 0 ABCD: 0 (, C,), 0 5 (4,,), 0 5 (5, C,). 0 4 6 0 0 6 0 0 9: 6 0) 0 0 7 0 7apple К 0 9 0 0 6 0 0 0 8 0 0 0 0 0 6 5fiapple 0 0 7 0 6 6 5 0 0apple 0 4 0 9 0 0 0 8, ) 0 4 6 7 0 7 0 0 8apple 0 9 6 5 0 0apple 0 4 0 9 0 0 0 0 0, 6 5) 0 8 0 0 7 0 7 6 0 К 0 0 0 8 6 0apple 6 0 0 0 0 0 0 0 7 6 7apple 6 0 0 0 6 0, 6 7) 0 8apple 0 7 0 0 0 0 0 9 0 9 6 5 0 0 0 0 0 7apple 6 0 AB З 0 0 6 0 6 5 0 0 0-0 0 7apple BC З.. 0 5 6 0 0 0 0 8 К 6 5 0 0 0 6 0 9 0 0 8 F З = (, C,4), F З = (, C,), 0 8apple 0 9 0 0 7 0 8 0 0 0 0 0 0 0 8 0 0 0 0 7 К 0 0 0 7 0 6 0 0 7 0 0 0 0 0. 0 5 0 8 0 0 0 9 0 6 0 0 9 0 0 0 apple 6 0 0 7 0 0 4, 0 0 7 0 0 7apple 0 4 0 9 0 8apple 0 7 0 9 0 9 6 5 0 7 К 0 9 0 apple 6 0 6 5 0 0 0 7 К 0 0 0 6-0 6 0 6 5 0 4 0 9 0 7 6 0fl 0 0 0 9 0 0 6 0 9 0, 0 0 7 6 7 К 6 0 0 0 7 0 0 0 6 0 0 8apple 0 9 0 0 7 0 8 0 0 0 0 0 9fl, К 6 5 0 9 6 7 6 0fl 0 6 0 0 0 8applefl 0 0 7 0 0 9-0 0 0 0 0 6 0 0 0 7, 0 8 0 0apple 0 0 0 0 0 0 7 6 0 0 0 0 0 6fl 0 9 0 9 0 8 0 7 0 0 7 0 8 0 0 0 0 0 9fl 0 ( C,,0) 6 5 0 8 0 7 0 0 7 0 8 0 0 0 0 0 9 0 0 0 5 (0,,). 4. 0 7 0 6 0 0 9 6 0 0 0 0, 0 0 0 0 7 6 5 0 0 0 0 0 7apple 0 8 m З = (,,), n З = ( C,, C6), p З = (4, C6,) 0 0 0 0 0 0 7 0 0 8 0 6 0 0 0 6 0apple 0 0 0 8, 0 9 apple 6 0 0 9 0 0 7 0 8 0 9 0 0 0 6 5 0 0 0 0 0 7apple 6 0 З = (,, C) 0 8 0 7 6 5 0 0 0 0 0 7apple 6 0 0 m З, n З, p З.
5. 0 5 0 8 0 0 0 9 0 6 0 0 9 0 0 0 0 7 Bfi 0 0 8 0 9apple 6 0 0 0 9 К 0 8 0 0 0 0 4, 0 0 0 6 0 0 9 0 (,,), 0 (,4,0), 0 ( C,5,6), 0 4 (4,0,5). 6 5 6 0apple 0 9 6 0 0 0 0. 0 4 6 0 0 6 0 0 9 К 0 0 9 0 0 0 4 0 9 0 0 6 0 0 8apple 6 0 6 5 0 fl 0 9 0 7 0 9 0 0 0 0 7 0 6 0 9 0 0 0 4 0 6 0 8 6 5 0 0 0 0 0 7apple 6 0 6 0 З = m З C C n З + p З, 0 0 0 6 0 0 9 m З = (, C,5), n З = (,0,4), p З = ( C,4,).. 0 5 6 0 0 0 0 apple 0 0 0 4 6 7 0 7 0 0 0 0 0 0 9 0 0 0 5 0 5: 0 (4, C, C5), AB З = i З C 4j З C k З, BC З = i З C 4j З C k З. 0 4 6 0 0 6 0 0 9: 6 0) 0 0 7 0 7apple К 0 9 0 0 6 0 0 0 8 6 5 0 0apple 0 4 0 9 0 0 0 5 0 9 0 5, ) 0 8apple 0 7 0 0 0-0 0 9 0 9 6 5 0 0 0 0 0 7apple 6 0 AC З 0 0 6 0 6 5 0 0 0 0 0 7apple BC З, 6 5) 0 8 0 0 7 0 7 6 0 К 0 0 0 apple 0 0 0 4 6 7 0 7 0 0 0 0 0 0 9 0 6 0 0 0 5 0 5, 6 7) 0 4 6 7 0 7 0 0 8apple 0 9 6 5 0 0apple 0 4 0 9 0 0 0 0 0.. 0 4 6 0 0 6 0 0 9 0 0 7 0 0 0 0 0 0 0 6 0 9 0 0 8 F З = (,4, C), 0 8apple 0 9 0 0 7 0 8 0 0 0 0 0 0 0 7 0 6 0 0 0 7 0 0 0 0 0 0 (, C, C) 0 7 0 0 0 0 7 0 6 0 9 0 0 0 0 0 0 0 0 0 7 0 0 7 0 0 0 0 9 (0,0,0). 4. 0 7 0 6 0 0 9 6 0 0 0 0, 0 0 0 0 7 6 5 0 0 0 0 0 7apple 0 8 m З = (,,4), n З = (, C6, C), p З = (4, C,8) 0 0 0 0 0 0 7 0 0 8 0 6 0 0 0 6 0apple 0 0 0 8, 0 9 apple 6 0 0 9 0 0 7 0 8 0 9 0 0 0 6 5 0 0 0 0 0 7apple 6 0 З = (, C, C) 0 8 0 7 6 5 0 0 0 0 0 7apple 6 0 0 m З, n З, p З. 5. 0 5 0 8 0 0 0 9 0 6 0 0 9 0 0 0 0 7 Bfi 0 0 8 0 9apple 6 0 0 0 9 К 0 8 0 0 0 0 4, 0 0 0 6 0 0 9 0 (7,,), 0 ( C5,, C), 0 (,,5), 0 4 (4,5, C). 4 6 5 6 0apple 0 9 6 0 0 0 0. 0 4 6 0 0 6 0 0 9 0 0 0 0 0 9 0 9 6 5 0 0 0 6 0 0 0 0 8 0 0 0 0 7 0 7apple К 0 9 0 0 6 0 0 0 8 0 9 0 0 6 0 0 8apple 6 0 6 5 0 fl 0 9 0 7 0 9 0 0 0 0 7 0 6 0 9 0 0 0 4-0 6 0 8 6 5 0 0 0 0 0 7apple 6 0 З c = (x,y,6), 0 0 0 6 0 0 9 0 7 0 0 0 0 7 0 0 0 9 0 0 0 0 6 0apple 0 0 0 0 6 5 0 0 0 0 0 7apple 0 4 AB З, 6 7 К 0 0 0 (,, C), 0 5 ( C,4,).. 0 5 6 0 0 0 0 apple 0 0 0 4 6 7 0 7 0 0 0 0 0 0 9 0 0 0 5 0 5: 0 5 (, C,), 0 5 (,, C5), AB З = i З C З j C З k. 0 4 6 0 0 6 0 0 9: 6 0) 0 0 7 0 7apple К 0 9 0 0 6 0 0 0 8 0 0 7 0 0 0 0 9 0, ) 0 4 6 7 0 7 0 0 8apple 0 9 6 5 0 0apple 0 4 0 9 0 0 0 0 0, 6 5) К 0 0 9 0 0 0 4 6 5 0 8 0 6 0 7 0 0 8, 0 7 0 8 0 4 0 7 0 0 0 0 0 0 0 7 0 6 0 9 0 9 6 5 0 0apple 0 4 0 9 0 0 0 8 0.. 0 5 6 0 0 0 0 8 0 6 0 9 0 0 8 F З = (, C,) 0 9 F З = (,4,), 0 8apple 0 9 0 0 7 0 8 0 0 0 0 0 0 0 8 0 0 0 0 0 7 0 0-0 0 0 0 (,,). 0 8apple 0 0 К 0 0 0 0 9 0 0 0 6 5 0 0 0 0 9 0 0 0 9 0 0 0 4 0 9 0 0 6 0 0 8apple 6 0 6 5 0 fl 0 9 0 7 0 9 0 0 0 0 7 0 6 0 9 0 0 0 4 0 6 0 8 0 0 7 0 0 0 0 0 0 6 0 apple 6 0 6 5 0 0 0 7 К 0 0 0 6 0 6 0 6 5 0 4 0 9 0 7 0 0 0 6 0 0 0 9 0 0 6 0 9 0 0 7 0 0 0 0 7 0 6 0 9 0 0 0 0 0 0 0 0 0 7 0 0 7 0 0 0 0 9 (, C4,0). 4. 0 7 0 6 0 0 9 6 0 0 0 0, 0 0 0 0 7 6 5 0 0 0 0 0 7apple 0 8 m З = (,,4), n З = (, C,), p З = (,, C6) 0 0 0 0 0 0 7 0 0 8 0 6 0 0 0 6 0apple 0 0 0 8, 0 9 apple 6 0 0 9 0 0 7 0 8 0 9 0 0 0 6 5 0 0 0 0 0 7apple 6 0 З = (8,8,) 0 8 0 7 6 5 0 0 0 0 0 7apple 6 0 0 m З, n З, p З. 5. 0 5 0 8 0 0 0 9 0 6 0 0 9 0 0 0 0 7 Bfi 0 0 8 0 9apple 6 0 0 0 9 К 0 8 0 0 0 0 4, 0 0 0 6 0 0 9 0 (,,), 0 (,4,), 0 (,,7), 0 4 (,4, C).
5 6 5 6 0apple 0 9 6 0 0 0 0. 0 4 6 0 0 6 0 0 9 0 0 6 0 0 8apple 6 0 6 5 0 fl 0 9 0 7 0 9 0 0 0 0 7 0 6 0 9 0 0 0 4 0 6 0 8 6 5 0 0 0 0 0 7apple 6 0 6 0 З = BC З + AD З, 0 0 0 6 0 0 9 0 (4,5, C), 0 5 ( C,,0), 0 5 (6,, C4), D (, C,6).. 0 5 6 0 0 0 0 8 6 0apple 6 0 0 0 0 0 0 0 7 6 7apple 6 0 0 0 ABCD: 0 (4,, C), 0 5 (,0, C), 0 5 (4, C,4). 0 4 6 0 0 6 0 0 9: 6 0) 0 0 7 0 7apple К 0 9 0 0 6 0 0 0 8 0 0 0 0 0 6 5fiapple 0 0 7 0 6 6 5 0 0apple 0 4 0 9 0 0 0 8, ) 0 4 6 7 0 7 0 0 8apple 0 9 6 5 0 0apple 0 4 0 9 0 0 0 0 0, 6 5) 0 8 0 0 7 0 7 6 0 К 0 0 0 8 6 0apple 6 0 0 0 0 0 0 0 7 6 7apple 6 0 0 0 6 0, 6 7) 0 8apple 0 7 0 0 0 0 0 9 0 9 6 5 0 0 0 0 0 7apple 6 0 AB З 0 0 6 0 6 5 0 0 0-0 0 7apple BC З.. 0 5 6 0 0 0 0 8 К 6 5 0 0 0 6 0 9 0 0 8 F З = ( C,,5), F З = (,4,5), 0 8apple 0 9 0 0 7 0 8 0 0 0 0 0 0 0 8 0 0 0 0 7 К- 0 0 0 7 0 6 0 0 7 0 0 0 0 0. 0 5 0 8 0 0 0 9 0 6 0 0 9 0 0 0 apple 6 0 0 7 0 0 4, 0 0 7 0 0 7apple 0 4 0 9 0 8apple 0 7 0 9 0 9 6 5 0 7 К 0 9 0 apple 6 0 6 5 0 0 0 7 К 0 0 0 6 0 6 0-6 5 0 4 0 9 0 7 6 0fl 0 0 0 9 0 0 6 0 9 0, 0 0 7 6 7 К 6 0 0 0 7 0 0 0 6 0 0 8apple 0 9 0 0 7 0 8 0 0 0 0 0 9fl, К 6 5 0 9 6 7 6 0fl 0 6 0 0 0 8applefl 0 0 7 0 0 9-0 0 0 0 0 6 0 0 0 7, 0 8 0 0apple 0 0 0 0 0 0 7 6 0 0 0 0 0 6fl 0 9 0 9 0 8 0 7 0 0 7 0 8 0 0 0 0 0 9fl 0 (,0,) 6 5 0 8 0 7 0 0 7 0 8 0 0 0 0 0 9 0 0 0 5 (4,,). 4. 0 7 0 6 0 0 9 6 0 0 0 0, 0 0 0 0 7 6 5 0 0 0 0 0 7apple 0 8 m З = (,,0), n З = ( C,,), p З = (,0, C) 0 0 0 0 0 0 7 0 0 8 0 6 0 0 0 6 0apple 0 0 0 8, 0 9 apple 6 0 0 9 0 0 7 0 8 0 9 0 0 0 6 5 0 0 0 0 0 7apple 6 0 З = (,,) 0 8 0 7 6 5 0 0 0 0 0 7apple 6 0 0 m З, n З, p З. 5. 0 5 0 8 0 0 0 9 0 6 0 0 9 0 0 0 0 7 Bfi 0 0 8 0 9apple 6 0 0 0 9 К 0 8 0 0 0 0 4, 0 0 0 6 0 0 9 0 (5,,0), 0 (7,0,), 0 (,,4), 0 4 (5,5,). 6 6 5 6 0apple 0 9 6 0 0 0 0. 0 4 6 0 0 6 0 0 9 К 0 0 9 0 0 0 4 0 9 0 0 6 0 0 8apple 6 0 6 5 0 fl 0 9 0 7 0 9 0 0 0 0 7 0 6 0 9 0 0 0 4 0 6 0 8 6 5 0 0 0 0 0 7apple 6 0 6 0 З = Cm З + + n З C p З, 0 0 0 6 0 0 9 m З = (, C,), n З = (,0,4), p З = ( C, C,).. 0 5 6 0 0 0 0 apple 0 0 0 4 6 7 0 7 0 0 0 0 0 0 9 0 0 0 5 0 5: 0 (,0, C) AB З = 6i З C j З + k З, BC З = 6i З C j З + 5k З. 0 4 6 0 0 6 0 0 9: 6 0) 0 0 7 0 7apple К 0 9 0 0 6 0 0 0 8 6 5 0 0apple 0 4 0 9 0 0 0 5 0 9 0 5, ) 0 8apple 0 7-0 0 0 0 0 9 0 9 6 5 0 0 0 0 0 7apple 6 0 AC З 0 0 6 0 6 5 0 0 0 0 0 7apple BC З, 6 5) 0 8 0 0 7 0 7 6 0 К 0 0 0 apple 0 0 0 4 6 7 0 7 0 0 0 0 0 0 9 0 6 0 0 0 5 0 5, 6 7) 0 4 6 7 0 7 0 0 8apple 0 9 6 5 0 0apple 0 4 0 9 0 0 0 0 0.. 0 4 6 0 0 6 0 0 9 0 0 7 0 0 0 0 0 0 0 6 0 9 0 0 8 F З = (,,9), 0 8apple 0 9 0 0 7 0 8 0 0 0 0 0 0 0 7 0 6 0 0 0 7 0 0 0 0 0 0 (4,, C) 0 7 0 0 0 0 7 0 6 0 9 0 0 0 0 0 0 0 0 0 7 0 0 7 0 0 0 0 9 (,4,0). 4. 0 7 0 6 0 0 9 6 0 0 0 0, 0 0 0 0 7 6 5 0 0 0 0 0 7apple 0 8 m З = (,,6), n З = (4,,4), p З = ( C,, C) 0 0 0 0 0 0 7 0 0 8 0 6 0 0 0 6 0apple 0 0 0 8, 0 9 apple 6 0 0 9 0 0 7 0 8 0 9 0 0 0 6 5 0 0 0 0 0 7apple 6 0 З = (,,5) 0 8 0 7 6 5 0 0 0 0 0 7apple 6 0 0 m З, n З, p З. 5. 0 5 0 8 0 0 0 9 0 6 0 0 9 0 0 0 0 7 Bfi 0 0 8 0 9apple 6 0 0 0 9 К 0 8 0 0 0 0 4, 0 0 0 6 0 0 9 0 (,,5), 0 (, C, C4), 0 (5,,), 0 4 (4,,). 7 6 5 6 0apple 0 9 6 0 0 0 0. 0 4 6 0 0 6 0 0 9 0 0 0 0 0 9 0 9 6 5 0 0 0 6 0 0 0 0 8 0 0 0 0 7 0 7apple К 0 9 0 0 6 0 0 0 8 0 9 0 0 6 0 0 8apple 6 0 6 5 0 fl 0 9 0 7 0 9 0 0 0 0 7 0 6 0 9 0 0 0 4-4
0 6 0 8 6 5 0 0 0 0 0 7apple 6 0 З c = (4,y,z) 0 0 0 6 0 0 9 0 7 0 0 0 0 7 0 0 0 9 0 0 0 0 6 0apple 0 0 0 0 6 5 0 0 0 0 0 7apple 0 4 AB З, 6 7 К 0 0 0 ( C, C,4), 0 5 (,,).. 0 5 6 0 0 0 0 apple 0 0 0 4 6 7 0 7 0 0 0 0 0 0 9 0 0 0 5 0 5: 0 5 (, C,5), 0 5 (, C6,8), AB З = i З C j З + З k. 0 4 6 0 0 6 0 0 9: 6 0) 0 0 7 0 7apple К 0 9 0 0 6 0 0 0 8 0 0 7 0 0 0 0 9 0, ) 0 4 6 7 0 7 0 0 8apple 0 9 6 5 0 0apple 0 4 0 9 0 0 0 0 0, 6 5) К 0 0 9 0 0 0 4 6 5 0 8 0 6 0 7 0 0 8, 0 7 0 8 0 4 0 7 0 0 0 0 0 0 0 7 0 6 0 9 0 9 6 5 0 0apple 0 4 0 9 0 0 0 8 0.. 0 5 6 0 0 0 0 8 0 6 0 9 0 0 8 F З = (,0,) 0 9 F З = (, C,), 0 8apple 0 9 0 0 7 0 8 0 0 0 0 0 0 0 8 0 0 0 0 0 7 0 0-0 0 0 0 (, C,5). 0 8apple 0 0 К 0 0 0 0 9 0 0 0 6 5 0 0 0 0 9 0 0 0 9 0 0 0 4 0 9 0 0 6 0 0 8apple 6 0 6 5 0 fl 0 9 0 7 0 9 0 0 0 0 7 0 6 0 9 0 0 0 4 0 6 0 8 0 0 7 0 0 0 0 0 0 6 0 apple 6 0 6 5 0 0 0 7 К 0 0 0 6 0 6 0 6 5 0 4 0 9 0 7 0 0 0 6 0 0 0 9 0 0 6 0 9 0 0 7 0 0 0 0 7 0 6 0 9 0 0 0 0 0 0 0 0 0 7 0 0 7 0 0 0 0 9 (, C,). 4. 0 7 0 6 0 0 9 6 0 0 0 0, 0 0 0 0 7 6 5 0 0 0 0 0 7apple 0 8 m З = (,,), n З = (,,), p З = (,,) 0 0 0 0 0 0 7 0 0 8 0 6 0 0 0 6 0apple 0 0 0 8, 0 9 apple 6 0 0 9 0 0 7 0 8 0 9 0 0 0 6 5 0 0 0 0 0 7apple 6 0 З = (,,) 0 8 0 7 6 5 0 0 0 0 0 7apple 6 0 0 m З, n З, p З. 5. 0 5 0 8 0 0 0 9 0 6 0 0 9 0 0 0 0 7 Bfi 0 0 8 0 9apple 6 0 0 0 9 К 0 8 0 0 0 0 4, 0 0 0 6 0 0 9 0 (,,), 0 (,4,), 0 (6,, C), 0 4 (5,0,). 8 6 5 6 0apple 0 9 6 0 0 0 0. 0 4 6 0 0 6 0 0 9 0 0 6 0 0 8apple 6 0 6 5 0 fl 0 9 0 7 0 9 0 0 0 0 7 0 6 0 9 0 0 0 4 0 6 0 8 6 5 0 0 0 0 0 7apple 6 0 6 0 З = AB З C DC З, 0 0 0 6-0 0 9 0 (4,4,5), 0 5 (0,0,0), 0 5 ( C5,,0), D ( C,5,).. 0 5 6 0 0 0 0 8 6 0apple 6 0 0 0 0 0 0 0 7 6 7apple 6 0 0 0 ABCD: 0 ( C,,4), 0 5 (, C,), 0 5 (6, C,). 0 4 6 0 0 6 0 0 9: 6 0) 0 0 7 0 7apple К 0 9 0 0 6 0 0 0 8 0 0 0 0 0 6 5fiapple 0 0 7 0 6 6 5 0 0apple 0 4 0 9 0 0 0 8, ) 0 4 6 7 0 7 0 0 8apple 0 9 6 5 0 0apple 0 4 0 9 0 0 0 0 0, 6 5) 0 8 0 0 7 0 7 6 0 К 0 0 0 8 6 0apple 6 0 0 0 0 0 0 0 7 6 7apple 6 0 0 0 6 0, 6 7) 0 8apple 0 7 0 0 0 0 0 9 0 9 6 5 0 0 0 0 0 7apple 6 0 AB З 0 0 6 0 6 5 0 0 0-0 0 7apple BC З.. 0 5 6 0 0 0 0 8 К 6 5 0 0 0 6 0 9 0 0 8 F З = (4,,), F З = (,, C) 0 8apple 0 9 0 0 7 0 8 0 0 0 0 0 0 0 8 0 0 0 0 7 К- 0 0 0 7 0 6 0 0 7 0 0 0 0 0. 0 5 0 8 0 0 0 9 0 6 0 0 9 0 0 0 apple 6 0 0 7 0 0 4, 0 0 7 0 0 7apple 0 4 0 9 0 8apple 0 7 0 9 0 9 6 5 0 7 К 0 9 0 apple 6 0 6 5 0 0 0 7 К 0 0 0 6 0 6 0-6 5 0 4 0 9 0 7 6 0fl 0 0 0 9 0 0 6 0 9 0, 0 0 7 6 7 К 6 0 0 0 7 0 0 0 6 0 0 8apple 0 9 0 0 7 0 8 0 0 0 0 0 9fl, К 6 5 0 9 6 7 6 0fl 0 6 0 0 0 8applefl 0 0 7 0 0 9-0 0 0 0 0 6 0 0 0 7, 0 8 0 0apple 0 0 0 0 0 0 7 6 0 0 0 0 0 6fl 0 9 0 9 0 8 0 7 0 0 7 0 8 0 0 0 0 0 9fl 0 (,,) 6 5 0 8 0 7 0 0 7 0 8 0 0 0 0 0 9 0 0 0 5 (,,4). 4. 0 7 0 6 0 0 9 6 0 0 0 0, 0 0 0 0 7 6 5 0 0 0 0 0 7apple 0 8 m З = (,6,8), n З = (,, C4), p З = (,, C) 0 0 0 0 0 0 7 0 0 8 0 6 0 0 0 6 0apple 0 0 0 8, 0 9 apple 6 0 0 9 0 0 7 0 8 0 9 0 0 0 6 5 0 0 0 0 0 7apple 6 0 З = (, C9,5) 0 8 0 7 6 5 0 0 0 0 0 7apple 6 0 0 m З, n З, p З. 5. 0 5 0 8 0 0 0 9 0 6 0 0 9 0 0 0 0 7 Bfi 0 0 8 0 9apple 6 0 0 0 9 К 0 8 0 0 0 0 4, 0 0 0 6 0 0 9 0 (5,, C), 0 (,,), 0 (6, C,0), 0 4 (, C,). 9 6 5 6 0apple 0 9 6 0 0 0 0. 0 4 6 0 0 6 0 0 9 К 0 0 9 0 0 0 4 0 9 0 0 6 0 0 8apple 6 0 6 5 0 fl 0 9 0 7 0 9 0 0 0 0 7 0 6 0 9 0 0 0 4 0 6 0 8 6 5 0 0 0 0 0 7apple 6 0 6 0 З = m З + n З C p З, 0 0 0 6 0 0 9 m З = (4,5, C), n З = (, C,), p З = (4,, C). 5