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.