1. AlgebraIn geometry and algebra, the triple product is a product of three 3-dimensional vectors, usually Euclidean vectors. The name "triple product" is used for two different products, the scalar-valued scalar triple product and, less often, the vector-valued vector triple product. == Scalar triple product == The scalar triple product (also called the mixed product, box product, or triple scalar product) is defined as the dot product of one of the vectors with the cross product of the other two. === Geometric interpretation === Geometrically, the scalar triple product 𝐚⋅(𝐛×𝐜) is the (signed) volume of the parallelepiped defined by the three vectors given. === Properties === The scalar triple product is unchanged under a circular shift of its three operands (a, b, c): 𝐚⋅(𝐛×𝐜)=𝐛⋅(𝐜×𝐚)=𝐜⋅(𝐚×𝐛) Swapping the positions of the operators without re-ordering the operands leaves the triple product unchanged. This follows from the preceding property and the commutative property of the dot product: 𝐚⋅(𝐛×𝐜)... from wikipedia.org