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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.

MORE INFORMATION

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].

Basic Examples (1)

Generalizations & Extensions (2)

Applications (1)

Properties & Relations (1)

Norm Abs Dot Sign UnitVector Standardize

Vector Operations

Demonstrations with Normalize (Wolfram Demonstrations Project)

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