# Geometric Vector

## Geometric Vector

A quantity that has magnitude (length) and direction.

In mathematics, the term vector generally refers to a geometric vector.

In a Cartesian plane, a geometric vector is represented by an arrow or a directed line segment.

In this case, $$\overrightarrow {u}$$ is represented by an arrow from point $$\overrightarrow {v}$$ is a vector with a length of $$2\sqrt {5}$$.

A geometric vector $$\overrightarrow {AB}$$ is represented by an arrow from point A towards point B. Every pair of points equivalent to (A, B) can be used to define an arrow of the same vector. Therefore, a vector is considered to be an infinite set of pairs of points equivalent to a given pair of points.