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ScalarTripleProduct

ScalarTripleProduct[v1, v2, v3]
gives the scalar triple product of the three 3-vectors v1, v2 and v3 in the default coordinate system.
ScalarTripleProduct[v1, v2, v3, coordsys]
gives the scalar triple product of v1, v2 and v3 in the coordinate system coordsys.
  • ScalarTripleProduct[v1, v2, v3, coordsys] is computed by converting v1, v2 and v3 to Cartesian coordinates and then forming the scalar triple product.
Needs["VectorAnalysis`"]
Compute the scalar triple product of three vectors in space:
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Use Det to obtain the same answer:
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Find the equation of the plane passing through the points with position vectors r1, r2, and r3:
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