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VectorCalculus

  

evalVF

  

evaluate a vector field at a point

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

evalVF(F, v)

Parameters

F

-

vector field or a Vector valued procedure; specify the components of the vector field

v

-

free or position Vector; specify the point at which to evaluate the vector field

Description

• 

The command evalVF(F, v) evaluates the vector field F at the point v.  The result is a rooted Vector with root point v.

• 

The parameters, F and v, must have the same dimension, but do not need to be defined in the same coordinate system.

• 

The vector field parameter, F, can also be specified as a Vector-valued procedure, in which case this procedure is evaluated at the coordinates of the Vector v.

Examples

withVectorCalculus:

evevalVFx,y,z→RootedVectorroot=1,0,1,cosx,siny,z,PositionVectorπ,π2,0

ev110

(1)

Aboutev

Type: Rooted VectorComponents: 1,1,0Coordinates: cartesianx,y,zRoot Point: π,12π,0

(2)

SetCoordinatespolarr,θ

polarr,θ

(3)

FVectorFieldr2θ,θ

Fr2θe_rθe_θ

(4)

simplifyevalVFF,1,π2

12π12π

(5)

evalVFa,b→a2,b2,Vector0,1,attributes=coordinates=cartesian

114π2

(6)

See Also

VectorCalculus

VectorCalculus[Coordinates]

VectorCalculus[GetCoordinates]

VectorCalculus[MapToBasis]

VectorCalculus[SetCoordinates]

VectorCalculus[Vector]

VectorCalculus[VectorField]