## Vectors in a plane

**Unit vector**

A vector and the associated unit vector. The unit vector always has the magnitude of 1 and the same direction as the original vector.

## Position vector

A position vector is a vector representing the position of a point in relation to a fixed point, for instance (0,0).

## Unit vector

A unit vector (sometimes called normalized vector) has the magnitude of 1.

It is possible to convert a vector to a unit vector by dividing its coordinates with its magnitude: