Tangent Vector

Explore TangentVector on MathWorld

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.


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.

Classroom Articles on Multivariable Calculus (Up to College Level)

  • Jacobian
  • Partial Derivative
  • Multivariable Calculus
  • Vector Field