# Thornton & Marion, Classical Dynamics, Fifth Edition

## Chapter 1. Matrices, Vectors, and Vector Calculus

### Problem 11. Triple scalar product

##### The problem asks you to

show that 1) triple scalar product can be written as

2) the product is unaffected by an interchange of operators or by a change in the order.

3) a geometrical interpretation, which is the volume of the parallelepiped.

##### The problem gives

the definition of the triple scalar product

##### We should know about

1) scalar and vector products of vectors and its geometrical interpretations. 2) some properties of the determinant (for matrix calculation).

##### Solution