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