Definition:Vector (Affine Geometry)

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This page is about vector in the context of affine spaces. For other uses, see Definition:Vector.

Definition

Let $\mathcal E$ be an affine space.

Let $V$ be the tangent space of $\mathcal E$.


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

Notation

If $p, q \in \mathcal E$ are points then it is common to write $\vec{pq} = q - p \in V$.


Also see