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


gives the scalar triple product of the three 3-vectors v1, v2, and v3 in the default coordinate system.


gives the scalar triple product of v1, v2, and v3 in the coordinate system coordsys.

Details and Options

  • 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.


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: