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)

Compute the scalar triple product of three vectors in space:

Use Det to obtain the same answer:

Find the equation of the plane passing through the points with position vectors r1, r2, and r3: