Question

Why is cross product useful?

Answer 1

Cross Product:

1. Cross product of two vectors is an operation of mathematics that is performed on two vectors.
2. The outcome of the cross product is a vector which is perpendicular to both of the vectors and has a magnitude that is equal to the magnitude of the first vector times the magnitude of the second vector times $\sin \left(\theta \right)$ where $\theta$ is the angle between the vectors.

Explanation:

Cross product is useful in many ways some of which are listed below:

1. To calculate the angle between two points.
2. To determine the vector normal to a plane.
3. Calculate the moment of a force about a point
4. Calculate the moment of a force about a line.
5. Determining the shortest distance between two non-parallel, non-intersecting planes.

Thus cross product is useful.