compute the cross product of Vectors and differential operators - Maple Help

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Student[VectorCalculus][CrossProduct] - compute the cross product of Vectors and differential operators

Calling Sequence

CrossProduct(v1, v2)

v1 &x v2

Parameters

v1

-

Vector, Vector-valued procedure, or differential operator

v2

-

Vector, Vector-valued procedure, or differential operator

Description

• 

The CrossProduct(v1, v2) calling sequence computes the cross product ( vector product ) of v1 and v2, where v1 and v2 can be Vectors, vector fields, Student[VectorCalculus][Del], or Student[VectorCalculus][Nabla].

  

Note: You can enter vector fields as Vector-valued procedures or operators.

• 

The Student[VectorCalculus] package has an &x cross product operator that you can use in place of the CrossProduct command. For example, CrossProduct(v1, v2) is equivalent to v1 &x v2.

  

Also, Del &x F is equivalent to Curl(F).

Examples

withStudent[VectorCalculus]:

CrossProducta,b,c,d,e,f

bfceex+af+cdey+aebdez

(1)

a,b,c &x d,e,f

bfceex+af+cdey+aebdez

(2)

F:=VectorFieldy,x,0

F:=ye_xxe_y

(3)

Del &x F

2e_z

(4)

CrossProductNabla,F

2e_z

(5)

SetCoordinatescylindrical

cylindricalr,θ,z

(6)

r1:=RootedVector2,2,1,root=1,2,3

r1:=221

(7)

r2:=RootedVector3,1,0,root=1,2,3

r2:=310

(8)

r1 &x r2

138

(9)

See Also

Student[VectorCalculus], Student[VectorCalculus][Curl], Student[VectorCalculus][Del], Student[VectorCalculus][SetCoordinates], Student[VectorCalculus][Vector], Student[VectorCalculus][VectorField]


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