State whether the vectors are parallel, orthogonal, or neither.
-$$\mathbf { v } = 4 \mathbf { i } + 2 \mathbf { j } , \quad \mathbf { w } = 2 \mathbf { i } - 4 \mathbf { j }$$
A) Parallel
B) Orthogonal
C) Neither

Question

Quizplus · Accepted Answer

Two vectors are orthogonal if their dot product is zero. The dot product of $\mathbf{v}$ and $\mathbf{w}$ is $4*2 + 2*(-4) = 8 - 8 = 0$, indicating they are orthogonal.

State Whether the Vectors Are Parallel, Orthogonal, or Neither v=4i+2j,w=2i−4j\mathbf { v } = 4 \mathbf { i } + 2 \mathbf { j } , \quad \mathbf { w } = 2 \mathbf { i } - 4 \mathbf { j }v=4i+2j,w=2i−4j

State Whether the Vectors Are Parallel, Orthogonal, or Neither $\mathbf { v } = 4 \mathbf { i } + 2 \mathbf { j } , \quad \mathbf { w } = 2 \mathbf { i } - 4 \mathbf { j }$