Question

Let u = <7, -3>, v = <-9, 5>. Find 4u - 3v.

a. <55, -27>
b. <1, 3>
c. <16, 12>
d. <-8, -6>

Answer 1

a.<55, -27>

Explanation:

The given vectors are u = <7, -3>, v = <-9, 5>.

We want to find 4u - 3v.

We substitute the vectors and multiply by the scalars.

4u - 3v=4<7, -3>-3 <-9, 5>.

4u - 3v=<28, -12>- <-27, 15>.

4u - 3v=<28--27, -12-15>

4u - 3v=<55, -27>