Thornton & Marion, Classical Dynamics of Particles and Systems, 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
- The 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