Thornton & Marion (5th Edition), Chapter 01, Problem 21 Solution

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

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