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.

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.

Needs["VectorAnalysis`"]

Compute the scalar triple product of three vectors in space:

Use Det to obtain the same answer: