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

Question 86

Multiple Choice

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


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

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