Properties of Vectors

Vectors follow most of the same arithemetic rules as scalar numbers. The following
are various properties that apply to vectors in two dimensional and three dimensional
space and are important to keep in mind

Addition of Vectors

Scalar and Vector Properties

Dot Product Properties

The Dot Product is defined as

as well as

The following properties hold

Cross Product Properties

The cross product is defined as

As well as

The following properties hold