Question

Given vectors u=-9i+8j and v= 7i +5j, find 2u - 6v in terms of unit vectors i and j.

Answer 1

A

Explanation:

edge

Answer 2

2u - 6v = -(60i + 14j)

Explanation:

First, multiply u by 2:

`2u = 2(-9i+8j) = -18i+16j`

Then, multiply v by 6:

`6v = 6(7i+5j) = 42i+30j`

Subtract by combining like terms:

`(-18i+16j)-(42i+30j) = (-18i-42i) + (16j-30j) = -60i-14j`

Therefore, 2u - 6v = -60i - 14j in terms of unit vectors i and j.