## 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…

## Thornton & Marion (5th Edition), Chapter 01, Problem 20 Solution

Thornton & Marion, Classical Dynamics (5th Edition) Chapter 1. Matrices, Vectors, and Vector Calculus Problem 20. Kronecker delta & Levi-Civita Symbol The problem asks you to prove Some properties of Kronecker delta and Levi-Civita Symbol You should know about Definition of Kronecker delta symbol (Equation 1.14) Definition of Levi-Civita symbol (Equation 1.67) Solution References https://en.wikipedia.org/wiki/Kronecker_delta…

## Thornton & Marion (5th Edition), Chapter 01, Problem 19 Solution

Thornton & Marion, Classical Dynamics (5th Edition) Chapter 1. Matrices, Vectors, and Vector Calculus Problem 19. Vector Algebra The problem asks you to derive Angle transformation formulae using vector algebra. You should know about Basic concept of a vector algebra Law of cosines Pythagorean trigonometric identity Solution   References https://en.wikipedia.org/wiki/Law_of_cosines https://en.wikipedia.org/wiki/Pythagorean_trigonometric_identity

## Thornton & Marion (5th Edition), Chapter 01, Exercise Problem 18

Thornton & Marion, Classical Dynamics, Fifth Edition Chapter 1. Matrices, Vectors, and Vector Calculus Problem 18. Geometrical interpretation of the vector product Solution

## Thornton & Marion (5th Edition), Chapter 01, Exercise Problem 17

Thornton & Marion, Classical Dynamics, Fifth Edition Chapter 1. Matrices, Vectors, and Vector Calculus Problem 17. Geometrical interpretation of the scalar product Solution

## Thornton & Marion (5th Edition), Chapter 01, Exercise Problem 16

Thornton & Marion, Classical Dynamics, Fifth Edition Chapter 1. Matrices, Vectors, and Vector Calculus Problem 16. Geometrical interpretation of the scalar product Solution

## Thornton & Marion (5th Edition), Chapter 01, Exercise Problem 15

Thornton & Marion, Classical Dynamics, Fifth Edition Chapter 1. Matrices, Vectors, and Vector Calculus Problem 15. Orthogonal matrix Solution

## Thornton & Marion (5th Edition), Chapter 01, Exercise Problem 14

Thornton & Marion, Classical Dynamics, Fifth Edition Chapter 1. Matrices, Vectors, and Vector Calculus Problem 14. Vector calculus Solution

## Thornton & Marion (5th Edition), Chapter 01, Exercise Problem 13

Thornton & Marion, Classical Dynamics, Fifth Edition Chapter 1. Matrices, Vectors, and Vector Calculus Problem 13. Vector triple product (BAC-CAB rule) Solution

## Thornton & Marion (5th Edition), Chapter 01, Exercise Problem 12

Thornton & Marion, Classical Dynamics, Fifth Edition Chapter 1. Matrices, Vectors, and Vector Calculus Problem 12. Application of the scalar and vector product (Geometrical interpretations) Solution