This appendix regards the basic properties of vector products and their geometric interpretation.
The dot product, or scalar product between two vectors is indicated with the symbol ∙ and is defined as:
This equation is a pure algebraic definition where the term vector is intended as a sequence of numbers. When we deal with a geometric interpretation where the vectors are entities characterized by a magnitude and a direction we can write:
where θ is the angle formed by the two vectors. Equation (B.2) tells us a few important things.
One of these things is that two non-zero-length vectors are perpendicular to each other if and only ...