Normalize

Normalize[v]

gives the normalized form of a vector v.

Normalize[z]

gives the normalized form of a complex number z.

Normalize[expr,f]

normalizes with respect to the norm function f.

Details

  • Normalize[v] is effectively v/Norm[v], except that zero vectors are returned unchanged.
  • Except in the case of zero vectors, Normalize[v] returns the unit vector in the direction of v.
  • For a complex number z, Normalize[z] returns z/Abs[z], except that Normalize[0] gives 0.
  • Normalize[expr,f] is effectively expr/f[expr], except when there are zeros in f[expr].

Examples

open allclose all

Basic Examples  (1)

In[1]:=
Click for copyable input
Out[1]=

Scope  (5)

Generalizations & Extensions  (2)

Applications  (1)

Properties & Relations  (1)

See Also

Norm  Abs  Dot  Sign  UnitVector  Standardize

Tutorials

Introduced in 2007
(6.0)