If $\vec { v } = b \vec { w } \neq \overrightarrow { 0 }$ for some constant b, then the vectors $\vec { v }$ and $\vec { w }$ are parallel or anti-parallel.

Question

Quizplus · Accepted Answer

If $\vec{v} = b\vec{w}$ for some constant $b$, it means $\vec{v}$ is a scalar multiple of $\vec{w}$, which by definition means they are parallel (if $b > 0$) or anti-parallel (if $b < 0$).

If v⃗=bw⃗≠0→\vec { v } = b \vec { w } \neq \overrightarrow { 0 }v=bw=0

If $\vec { v } = b \vec { w } \neq \overrightarrow { 0 }$