$$\text { Determine the result for the following operation: } ( \mathbf { k } \times \mathbf { i } ) \times ( \mathbf { j } \times \mathbf { k } ) \text {. }$$
A) -k
B) k
C) 0
D) 1

Question

Quizplus · Accepted Answer

The cross product of two vectors is a vector perpendicular to both of the original vectors. The cross product of $ \mathbf { k } \times \mathbf { i } $ is $ \mathbf { j } $, and the cross product of $ \mathbf { j } \times \mathbf { k } $ is $ - \mathbf { i } $. Therefore, the result of the operation $ ( \mathbf { k } \times \mathbf { i } ) \times ( \mathbf { j } \times \mathbf { k } ) $ is $ - \mathbf { i } $, which is choice A.

A) -K B) K C) 0 D) 1

A) -K
B) K
C) 0
D) 1