# Thornton & Marion, Classical Dynamics, 5th Edition

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

### Problem 21. Triple scalar product and Levi-Civita symbol

#### The problem asks you to show

- The relation between the triple scalar product and Levi-Civita Symbol

#### You should know about

- Vector and scalar product
- Triple scalar product (Problem 1-11)
- Definition of Levi-Civita symbol (Equation 1.67)

#### Solution

#### Alternative Solution

#### References

https://study-astrophysics.com/marion-01-11/

https://en.wikipedia.org/wiki/Levi-Civita_symbol