VectorCalculus
Normalize
normalize a Vector or vector field
Calling Sequence
Parameters
Description
Examples
Normalize(v, p)
v
-
Vector(algebraic); Vector to be normalized
p
(optional) nonnegative, infinity, or identical(Euclidean); the norm to use
The Normalize(v, p) command normalizes the Vector or vector field v with respect to the p-norm. If p is omitted, it defaults to 2.
If v is a RootedVector, it is normalized in the corresponding vector space, that is, relative to the root point of that vector space. See VectorCalculus details for more information about rooted vectors.
The 2-norm can also be specified using the value Euclidean for the parameter p.
If the p-norm of the input Vector v is 0, then v is returned.
withVectorCalculus:
SetCoordinatescartesianx,y:
Normalize3,4
n≔NormalizeVectorFieldxy,xy,3
simplifyevalVFn,2,3
97302373073023730
SetCoordinatescartesianx,y,z:
Normalize2,0,3,0
SetCoordinatessphericalr,φ,θ:
NormalizePositionVector1,π2,π3,Euclidean
v≔NormalizePositionVector2,π3,π4,∞
Normv,∞
1
SetCoordinatespolarr,θ:
NormalizeRootedVectorroot=1,2,a,b
aa2+b2ba2+b2
See Also
LinearAlgebra[Norm]
Physics
PositionVector
RootedVector
Vector
VectorCalculus details
VectorCalculus[Norm]
VectorCalculus[SetCoordinates]
VectorField
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