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

Answer:

When vector B and C are added together, the direction of the product is perpendicular to the plane that contains vector B and C, which is based on the Right hand grip rule.

In this case, the direction of vector  is perpendicular to vector A and is in the plane that contains vectors B and C, and it is based on the Right hand grip rule once more.