# What is a cross product?

A cross product is an operation done on two vectors that returns the vector that is perpendicular to both of them. Interestingly, the magnitude of a x b = ||a|| * ||b|| * sin(theta), which is also the area of the parallelogram created by the two vectors.

## Right Hand Rule

The right hand rule is a rule that says that the cross product goes from the right vector to the left vector. So you could make this with your hand.

Basically b x a = -(a x b).

# How to do it

## 3x3 Matrix Determinant

## Another Way

Here's a really good **video** about it.