Question

Даю 40 баллов;
Выполните действия над векторами
Дано: а(-3;2;1) в(4;5-1)
с(0;4;-2) m(3;6;2) n(-3;-2;5)
Найти:1)3а+2m
2)4в-3с
3)4m+3n
4)2a+4в-3с
5)5m-n+в
6)3в+m-n
7)a+в-с+m-n
8)3c+2m-4n+3a

Answer 1

1)3а+2m = (3*(-3); 32; 31) + (23; 26; 2*2) = (-9; 6; 3) + (6; 12; 4) = (-3; 18; 7)

2)4в-3с = (44; 45; 4*(-1)) - (30; 34; 3*(-2)) = (16; 20; -4) - (0; 12; -6) = (16; 8; 2)

3)4m+3n = (43; 46; 42) + (3(-3); 3*(-2); 3*5) = (12; 24; 8) + (-9; -6; 15) = (3; 18; 23)

4)2a+4в-3с = (2*(-3); 22; 21) + (44; 45; 4*(-1)) - (30; 34; 3*(-2)) = (-6; 4; 2) + (16; 20; -4) - (0; 12; -6) = (10; 12; 4)

5)5m-n+в = (53; 56; 5*2) - (-3; -2; 5) + (4; 5; -1) = (15; 30; 10) + (3; 2; -5) + (4; 5; -1) = (22; 37; 4)

6)3в+m-n = (34; 35; 3*(-1)) + (3; 6; 2) - (-3;-2;5) = (12; 15; -3) + (3; 6; 2) + (3; 2; -5) = (18; 23; -6)

7)a+в-с+m-n = (-3; 2; 1) +(4; 5; -1) - (0; 4; -2) + (3; 6; 2) - (-3; -2; 5) = (-3+4+0+3+3; 2+5-4+6+2; 1-1+2-5) = (7; 11; -3)

8)3c+2m-4n+3a = (30; 34; 3*(-2)) + (23; 26; 22) - (4(-3); 4*(-2); 45) + (3(-3); 32; 31) = (0; 12; -6) + (6; 12; 4) - (-12; -8; 20) + (-9; 6; 3) = (-9; 22; 21)