Question

Вектора A(5;-2;3) b (2;1;-5) Найти c=7a-2b

Answer 1

замечание. Либо двумя большими, либо одной маленькой буквой. так обозначаем вектора. Будем считать опечаткой вектора а(5;-2;3); b (2;1;-5).

c=7a-2b=c=7*(5;-2;3)-2*(2;1;-5)=(35-4;-14-2;21+10)=(31;-16;31)

Answer 2

To find the vector C, which is given by C = 7A - 2B, where A = (5, -2, 3) and B = (2, 1, -5), we perform the following scalar multiplication and vector subtraction:

C = 7A - 2B C = 7(5, -2, 3) - 2(2, 1, -5) C = (35, -14, 21) - (4, 2, -10) C = (35 - 4, -14 - 2, 21 + 10) C = (31, -16, 31)

So, vector C is (31, -16, 31).