Explore Vector on MathWorld

(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.

Vector is a high school-level concept that would be first encountered in a pre-calculus course covering vectors. It is listed in the California State Standards for Linear Algebra.


Normal Vector: A normal vector is a vector perpendicular to a surface.
Tangent Vector: A tangent vector is a vector pointing in the direction of the tangent line to the graph of a function.

Classroom Articles on Vectors

  • Cross Product
  • Dot Product

  • Classroom Articles on Pre-Calculus (Up to High School Level)

  • Asymptote
  • Logarithm
  • Complex Conjugate
  • Natural Logarithm
  • Complex Number
  • Parabola
  • Complex Plane
  • Parametric Equations
  • Conic Section
  • Plane
  • Curve
  • Plane Curve
  • Determinant
  • Polar Coordinates
  • Domain
  • Range
  • e
  • Rational Function
  • Ellipse
  • Reflection
  • Exponential Function
  • Rotation
  • Function
  • Rotation Matrix
  • Hyperbola
  • Scalar
  • i
  • Spherical Coordinates
  • Imaginary Number
  • Tangent Line
  • Inverse Function
  • Translation
  • Locus