Use the Dot Product to Determine if Two Vectors are Orthogonal
-$$\mathbf { v } = \sqrt { 2 } \mathbf { j } , \quad \mathbf { w } = 3 \mathrm { i }$$
A) orthogonal
B) parallel
C) neither

Question

Quizplus · Accepted Answer

Two vectors are orthogonal if their dot product is zero. The dot product of $\mathbf{v} = \sqrt{2}\mathbf{j}$ and $\mathbf{w} = 3\mathbf{i}$ is $0$, since they have no components in common.

Use the Dot Product to Determine If Two Vectors Are v=2j,w=3i\mathbf { v } = \sqrt { 2 } \mathbf { j } , \quad \mathbf { w } = 3 \mathrm { i }v=2​j,w=3i

Use the Dot Product to Determine If Two Vectors Are $\mathbf { v } = \sqrt { 2 } \mathbf { j } , \quad \mathbf { w } = 3 \mathrm { i }$