Vector Analysis Package Symbol

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.

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.

Find the cross product of a pair of vectors:

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

Needs["VectorAnalysis`"]

Find the cross product of a pair of vectors:

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