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Student[VectorCalculus]

  

evalVF

  

evaluate a vector field at a point

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

evalVF(F, v)

Parameters

F

-

vector field or 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 evalVF(F, v) calling sequence evaluates the vector field F at the 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

withStudent[VectorCalculus]:

SetCoordinatespolarr,θ

polarr,θ

(1)

FVectorFieldr2θ,θ

F:=r2θe_rθe_θ

(2)

simplifyevalVFF,1,π2

12π12π

(3)

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

114π2

(4)

See Also

Coordinates

Student[VectorCalculus]

Student[VectorCalculus][GetCoordinates]

Student[VectorCalculus][MapToBasis]

Student[VectorCalculus][SetCoordinates]

Student[VectorCalculus][Vector]

Student[VectorCalculus][VectorField]

 


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