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CrossProduct

CrossProduct[v1,v2]

gives the cross product of the two 3-vectors v1, v2 in the default coordinate system.

CrossProduct[v1,v2,coordsys]

gives the cross product of v1 and v2 in the coordinate system coordsys.

Details and Options
Details and Options Details and Options
Examples  
Basic Examples  
See Also
Tech Notes
Related Guides
VectorAnalysis`
VectorAnalysis`

CrossProduct

As of Version 9.0, vector analysis functionality is built into the Wolfram Language »

CrossProduct[v1,v2]

gives the cross product of the two 3-vectors v1, v2 in the default coordinate system.

CrossProduct[v1,v2,coordsys]

gives the cross product of v1 and v2 in the coordinate system coordsys.

Details and Options

  • To use CrossProduct, you first need to load the Vector Analysis Package using Needs["VectorAnalysis`"].
  • CrossProduct[v1,v2,coordsys] is computed by converting v1 and v2 to Cartesian coordinates, forming the cross product, and then converting back from Cartesian coordinates.

Examples

Basic Examples  (1)

Wolfram Language code: Needs["VectorAnalysis`"]

Find the cross product of a pair of vectors:

Wolfram Language code: a = {1, 3, 5};
Wolfram Language code: b = {-4, 7, 1};
Wolfram Language code: CrossProduct[a, b]

Verify an identity involving the cross product and the dot product of vectors:

Wolfram Language code: Norm[CrossProduct[a, b]] ^ 2 + Norm[a.b] ^ 2 - Norm[a] ^ 2 * Norm[b] ^ 2