# Tangent Vector

A tangent vector is a vector pointing in the direction of the tangent line to the graph of a function.

Tangent vector is a college-level concept that would be first encountered in a multivariable calculus course.

### Prerequisites

Derivative: | A derivative is the infinitesimal rate of change in a function with respect to one of its parameters. |

Tangent Line: | A tangent line is a line that touches but does not cross a curve at a given point. |

Vector: | (1) In vector algebra, a vector mathematical entity that has both magnitude (which can be zero) and direction. (2) In topology, a vector is an element of a vector space. |