What is the cross product of a vector?

The cross product of a vector is an extra vector that is at right angles to both the two vectors that were crossed. The new formed vector is still at right angles to the rest even if it does not point to the same direction as the original two.

There is one requirement that must be satisfied in order to find a cross product: Both of the vectors need to be three-dimensional vectors. This is because the result of a cross product is another vector, also known as a vector product, and not a number as is the case with the result of the dot product.