Normalized Vector -- From Wolfram MathWorld

Search Algebra Applied Mathematics Calculus and Analysis Discrete Mathematics Foundations of Mathematics Geometry History and Terminology Number Theory Probability and Statistics Recreational Mathematics Topology Alphabetical Index New in MathWorld
  • Algebra
  • Vector Algebra
Normalized Vector

The normalized vector of X is a vector in the same direction but with norm (length) 1. It is denoted X^^ and given by

 X^^=(X)/(|X|),

where |X| is the norm of X. It is also called a unit vector.

See also

Unit Vector

Explore with Wolfram|Alpha

WolframAlpha

More things to try:

  • vector algebra
  • Archimedean solids
  • edge detect image of Einstein

Cite this as:

Weisstein, Eric W. "Normalized Vector." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/NormalizedVector.html

Subject classifications

  • Algebra
  • Vector Algebra
Created, developed and nurtured by Eric Weisstein at Wolfram Research

Tag » How To Normalize A Vector