Determine whether $\mathbf { u }$ are $\mathbf { v }$ and orthogonal, parallel, or neither.
$$\mathbf { u } = \langle 6,4 \rangle , \mathbf { v } = \langle - 20,30 \rangle$$
A) orthogonal
B) parallel
C) neither

Question

Quizplus · Accepted Answer

Two vectors are orthogonal if their dot product is zero. The dot product of $\mathbf{u}$ and $\mathbf{v}$ is $6(-20) + 4(30) = -120 + 120 = 0$, so they are orthogonal.

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

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