# Thornton & Marion, Classical Dynamics, 5th Edition

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

### Problem 11. Triple scalar product

#### The problem asks you to

- Triple scalar product can be written as

- The product is unaffected by an interchange of operators or by a change in the order.

- A geometrical interpretation, which is the volume of the parallelepiped.

#### The problem gives

- the definition of the triple scalar product

#### We should know about

- Scalar and vector products of vectors and their geometrical interpretations.
- Some properties of the determinant (for matrix calculation).

#### Solution