Suppose That $\vec { a }$ And $\vec { b }$ Are Non-Zero Vectors

Suppose that $\vec { a }$ and $\vec { b }$ are non-zero vectors.If $\vec { a }$ and $\vec { b }$ are parallel, then which of the following MUST be true? Select all that apply.

A) $\vec { a } \times \vec { b } = \vec { b } \times \vec { a }$
B) $\vec { a } \cdot \vec { b } = \vec { b } \cdot \vec { a }$
C) $$\vec { a } \times \vec { b } = \overrightarrow { c }$$
D) $\vec { a } \cdot \vec { b } = 0$