Determine whether $\mathbf { u }$ and $\mathbf { v }$ are orthogonal, parallel, or neither.
$$\mathbf { u } = \left\langle \frac { 7 } { 3 } , \frac { - 1 } { 2 } \right\rangle , \mathbf { v } = \langle 14 , - 3 \rangle$$
A) orthogonal
B) parallel
C) neither

Question

Quizplus · Accepted Answer

Two vectors are parallel if one is a scalar multiple of the other. Here, $\mathbf{v} = 6\mathbf{u}$, since $14 = 6 \times \frac{7}{3}$ and $-3 = 6 \times \frac{-1}{2}$. Therefore, $\mathbf{u}$ and $\mathbf{v}$ are parallel.

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

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