Definition:Vector/Affine Geometry

Definition
Let $\EE$ be an affine space.

Let $V$ be the tangent space of $\EE$.

An element $v$ of $V$ is called a vector.

Notation
If $p, q \in \EE$ are points then we define:
 * $\vec {p q} := q - p \in V$

Also see

 * Definition:Directed Line Segment