A, B, and C are three non-collinear,
Question:

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

Solution:

The direction of product of vectors B and C is perpendicular to the plane that contains vector B and C which is based on the Right hand grip rule.

The direction of vector A(B×C) is perpendicular to vector A and is in the plane which contains vectors B and C and is again based on the Right hand grip rule.

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