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Student[LinearAlgebra]

  

CrossProduct

  

compute the cross product of two Vectors

  

`&x`

  

compute the cross product of two Vectors

 

Calling Sequence

Parameters

Description

Examples

Compatibility

Calling Sequence

CrossProduct(U, V, options)

U &x V

Parameters

U, V

-

three-dimensional Vectors

options

-

(optional) parameters; for a complete list, see LinearAlgebra[CrossProduct]

Description

• 

The CrossProduct(U, V) function computes the cross product of Vectors U and V.

  

This command can also be entered using the infix notation U&xV. No additional parameters can be provided in this case.

• 

If W := CrossProduct(U, V), then W is a Vector with the following entries.

  

U2V3U3V2,U1V3+U3V1,U1V2U2V1

• 

If both U and V are row Vectors, their cross product is also a row Vector. Otherwise, a column Vector is returned.

Examples

withStudent:-LinearAlgebra:

V11,2,3

V1123

(1)

V22,3,4

V2234

(2)

CrossProductV1,V2

−12−1

(3)

V1&xV2

−12−1

(4)

CrossProductPlotV1,V2

Compatibility

• 

The Student[LinearAlgebra][CrossProduct] and Student[LinearAlgebra][`&x`] commands were introduced in Maple 2020.

• 

For more information on Maple 2020 changes, see Updates in Maple 2020.

See Also

Operators in Student LinearAlgebra

Student[LinearAlgebra]

Student[LinearAlgebra][CrossProductPlot]

Vector