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Student[MultivariateCalculus]

  

CrossProduct

  

return the cross product of two vectors

 

Calling Sequence

Parameters

Description

Examples

Compatibility

Calling Sequence

CrossProduct(u, v)

u &x v

Parameters

u, v

-

three-dimensional Vectors with algebraic entries

Description

• 

The CrossProduct command computes the cross product of u and v.

• 

The infix operator &x can also be used to compute the cross product.

• 

The cross product of u and v is given by the formula u2v3u3v2,u1v3+u3v1,u1v2u2v1.

• 

If u and v are both row Vectors, a row Vector is returned. Otherwise, a column Vector is returned.

Examples

withStudent:-MultivariateCalculus:

ua,b,c

uabc

(1)

vd,e,f

vdef

(2)

CrossProductu,v

bfceaf+cdaebd

(3)

The cross product is anticommutative.

v &x u

bf+ceafcdae+bd

(4)

The cross product is not associative.

wg,h,i

wghi

(5)

simplifyu &x v &x w

af+cdiaebdhbf+cei+aebdgafcdg+bfceh

(6)

simplifyu &x v &x w

becfg+bh+cidadcfh+ag+cieadbei+ag+bhf

(7)

Compatibility

• 

The Student[MultivariateCalculus][CrossProduct] command was introduced in Maple 2016.

• 

For more information on Maple 2016 changes, see Updates in Maple 2016.

See Also

Student

Student[MultivariateCalculus]