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Student[VectorCalculus]

  

CrossProduct

  

compute the cross product of Vectors and differential operators

 

Calling Sequence

Parameters

Description

Examples

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&xv2.

  

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

Examples

withStudentVectorCalculus:

CrossProducta,b,c,d,e,f

bfceex+af+cdey+aebdez

(1)

a,b,c&xd,e,f

bfceex+af+cdey+aebdez

(2)

FVectorFieldy,x,0

Fye_x+xe_y+0e_z

(3)

Del&xF

0e_x+0e_y+−2e_z

(4)

CrossProduct,F

0e_x+0e_y+−2e_z

(5)

SetCoordinatescylindrical

cylindricalr,θ,z

(6)

r1RootedVector2,2,1,root=1,2,3

r1221

(7)

r2RootedVector3,1,0,root=1,2,3

r23−10

(8)

r1&xr2

13−8

(9)

See Also

Student[VectorCalculus]

Student[VectorCalculus][Curl]

Student[VectorCalculus][Del]

Student[VectorCalculus][SetCoordinates]

Student[VectorCalculus][Vector]

Student[VectorCalculus][VectorField]