Given That $\vec { v }$ And $\vec { w }$ Are Non-Zero Vectors and That

Multiple Choice

Given that $\vec { v }$ and $\vec { w }$ are non-zero vectors and that $( \vec { V } \times \vec { w } ) \cdot \vec { u } = 0$ for all vectors $\vec { u }$ , then which of the following MUST be true? Select all that apply.

A) $\vec { v }$ is perpendicular to $\vec { w }$ .
B) $\vec { v }$ is parallel or anti-parallel to $\vec { w }$ .
C) The angle $\theta$ between
$\vec { v }$ and
$\vec { w }$ satisfies
.
D) The angle $\theta$ between
$\vec { v }$ and
$\vec { w }$ satisfies
.
E) At least one of $\| \vec { v } \|$ and
$\| \vec { w } \|$ is greater than 1.