Question

Даны векттры a(1;2) b(2;-4). найдите координаты вектора (2a-3b)

Answer 1

Решение задания смотри на фотографии

Answer 2

To find the coordinates of the vector (2a - 3b), where a = (1, 2) and b = (2, -4), we simply perform the scalar multiplication and vector subtraction as follows:

2a = 2 * (1, 2) = (2, 4) 3b = 3 * (2, -4) = (6, -12)

Now, we subtract 3b from 2a:

(2a - 3b) = (2, 4) - (6, -12)

To subtract two vectors, we subtract their corresponding components:

(2a - 3b) = (2 - 6, 4 - (-12)) = (-4, 16)

So, the coordinates of the vector (2a - 3b) are (-4, 16).