Question

If w = <3.5, -6> and z = <-1.5, -4>, what is the resulting vector for 2w − z?

Answer 1

C. <8.5, -8>

Explanation:

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Answer 2

We have the following vectors:
w = <3.5, -6>
z = <-1.5, -4>
We want to find:
2w - z
Substituting we have:
2w - z = 2 (<3.5, -6>) - (<-1.5, -4>)
Rewriting we have:
<7, -12> + <1.5, 4>
Adding component to component:
<(7 + 1.5), (-12 + 4)>
<8.5, -8>
Answer:
The resulting vector is:
<8.5, -8>