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DotProduct

DotProduct[v1, v2]
gives the dot product of the two 3-vectors v1, v2 in the default coordinate system.
DotProduct[v1, v2, coordsys]
gives the dot product of v1 and v2 in the coordinate system coordsys.
  • DotProduct[v1, v2, coordsys] is computed by converting v1 and v2 to Cartesian coordinates and then forming the dot product.
Needs["VectorAnalysis`"]
Dot product of two Cartesian vectors:
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Needs["VectorAnalysis`"]
Verify that a pair of vectors are orthogonal:
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Needs["VectorAnalysis`"]
Dot product of vectors in cylindrical coordinates:
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Compare with the result from conversion to Cartesian coordinates:
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