Question

Select the correct answer. if w = <3.5, -6> and z = <-1.5, -4>, what is the resulting vector for 2w − z?

1. thaiduong
The resulting vector of the given vector is <8.5, -8>. Thus option A is correct.
According to the statement
we have to find the resulting vector of the given vector which is 2w -z.
So, For this purpose, we know that the
A resultant vector is defined as the combination of two or more single vectors, which has its own direction and magnitude.
So,
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>
<(7 + 1.5), (-12 + 4)>
<8.5, -8>
So, The resulting vector of the given vector is <8.5, -8>. Thus option A is correct.