Question

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

Answer 1

The direction of vector A × (vector B × vector C) would be perpendicular to vector A and in a plane having vector B and vector C through the right-hand grip rule(RHGR).

Explanation:

Given that,

Vector A, Vector B, and Vector C are non-collinear and non-c-planar

To find,

The direction of vector A × (vector B × vector C) = ?

Procedure:

As per RHGR or Right- hand thumb rule;

The vector's length provides the rotation's speed and the axis's direction provides the direction of rotation.

The right finger will point in the rotation's direction while the right thumb will point in the +ve direction of the axis and no part of the body is moving in the direction of the axis arrow.

Thus,

"The direction of vector A  × (vector B × vector C) would be ⊥ to vector A's plane and in a plane having vector B and vector C."

Learn more: Co-planar vectors

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