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  • A, B, and C are three non-collinear, non co-planar vectors. What can you say about direction of A(B\times C)?

A, B, and C are three non-collinear, non co-planar vectors. What can you say about direction of A(B\times C)?

Answers (1)

Given: A, B, and C are non-collinear and no co-planar vectors.

For finding out the direction, we used the right-hand grip rule.

For (\vec{B}\times\vec{C}), the direction will be in a plane perpendicular to the plane containing \vec{B} and \vec{C}.

However, for the direction of \vec{A}\times(\vec{B}\times\vec{C}): it will be perpendicular to both \vec{A} and the plane which has (\vec{B}\times\vec{C}).

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