VectorAnalysis`
VectorAnalysis`

ScalarTripleProduct

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

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.

Details

• To use ScalarTripleProduct, you first need to load the Vector Analysis Package using Needs["VectorAnalysis`"].
• ScalarTripleProduct[v1,v2,v3,coordsys] is computed by converting v1, v2, and v3 to Cartesian coordinates and then forming the scalar triple product.

Examples

Basic Examples(1)

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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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