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

question 72

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.

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