Thornton & Marion, Classical Dynamics of Particles and Systems, 5th Edition
Chapter 1. Matrices, Vectors, and Vector Calculus
Problem 11. Triple scalar product
The problem asks you to
- Triple scalar product can be written as
- The product is unaffected by an interchange of operators or by a change in the order.
- A geometrical interpretation, which is the volume of the parallelepiped.
The problem gives
- the definition of the triple scalar product $latex (\\vec{A} \\times \\vec{B}) \\cdot \\vec{C}$
We should know about
- Scalar and vector products of vectors and their geometrical interpretations.
- Some properties of the determinant (for matrix calculation).
Solution
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