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Vector Operations
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Norm
Abs
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UnitVector
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Calculus
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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
]
.
EXAMPLES
CLOSE ALL
Basic Examples
(1)
In[1]:=
Out[1]=
Scope
(4)
Generalizations & Extensions
(2)
Applications
(1)
Properties & Relations
(1)
SEE ALSO
Norm
Abs
Dot
Sign
UnitVector
TUTORIALS
Vector Operations
MORE ABOUT
Calculus
Data Transforms and Smoothing
Math & Counting Operations on Lists
Matrices and Linear Algebra
Operations on Vectors
New in 6.0: Symbolic Computation
New in 6.0: Mathematics & Algorithms
New in 6.0: Matrix & Linear Algebra Functions
New in 6
© 2008 Wolfram Research, Inc.
EXAMPLES
Basic Examples 
Scope 