Suppose That $\vec { u }$ And $\vec { v }$ Are Non-Zero Vectors And

Multiple Choice

Suppose that $\vec { u }$ and $\vec { v }$ are non-zero vectors and $( \vec { u } + \vec { v } ) \times ( \vec { u } - \vec { v } ) = \overrightarrow { 0 }$ .Then what MUST be true about $\vec { u }$ and $\vec { v }$ ?

A) $\vec { u }$ and $\vec { v }$ are parallel.
B) $\vec { u }$ and $\vec { v }$ are perpendicular.
C) $( \vec { u } + \vec { v } ) \cdot ( \vec { u } - \vec { v } ) = 0$