# 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