Chapter 11, Problem 75RE

To determine

To find: If the given statement is true or false.

Answer to Problem 75RE

False.

Explanation of Solution

Given information:

A statement is given as-

“The cross product is commutative”.

Calculation:

The cross product of two vectors is a vector quantity. This means it has both magnitude and direction. The resultant cross product vector is perpendicular to both original vectors.

The vectors $\text{u}\times \text{v and v}\times \text{u}$ are equal in length but opposite in direction. This means cross product of two vectors is not commutative. i.e.

  $\text{u}\times \text{v}\ne \text{v}\times \text{u}$

Hence, given statement is false.