Linear Algebra
Advanced

Scalar Triple Product

Volume of the parallelepiped spanned by three vectors.

Formula

a⋅(b×c)\mathbf{a}\cdot(\mathbf{b}\times\mathbf{c})

Variables

a,b,cVectors

Example

Zero means coplanar

Did You Know?

The scalar triple product gives the volume of a parallelepiped and is zero when three vectors lie in one plane.

vector