Determine whether $\mathbf { u }$ and $\mathbf { v }$ are parallel, orthogonal, or neither.
$$\mathbf { u } = \langle 6 , - 5,2 \rangle , \mathbf { v } = \langle 30 , - 25,10 \rangle$$
A) parallel
B) orthogonal
C) neither

Question

Quizplus · Accepted Answer

Two vectors are parallel if one is a scalar multiple of the other. We can test this by comparing the ratios of corresponding components in each vector. If the ratios are all the same, then the vectors are parallel. Here, we can see that 
$$\frac{6}{30} = \frac{-5}{-25} = \frac{2}{10} = \frac{1}{5},$$
so the vectors are parallel.

Determine Whether u\mathbf { u }u And v\mathbf { v }v Are Parallel, Orthogonal, or Neither

Determine Whether $\mathbf { u }$ And $\mathbf { v }$ Are Parallel, Orthogonal, or Neither