Question

Given the vectors u=4i-j,and v=-3i+2j,find 2u-4v

Answer 1

Explanation:

We are given the vectors:

u = 4i - j

v = -3i + 2j

To find 2u - 4v, we need to double u and subtract four times v:

2u = 2(4i - j) = 8i - 2j

4v = 4(-3i + 2j) = -12i + 8j

So, 2u - 4v = (8i - 2j) - (-12i + 8j) = 20i - 10j.

Therefore, 2u - 4v = 20i - 10j.