Mathematics

This was developed as an aid to understanding the dot product function used in Fractal Kitty's There is(Ǝ) – Such that (∋) project.

The dot product is the length of vector A projected on vector B (you can imagine this as the length of the shadow that A would cast on B, if a flashlight were shining perpendicularly at B), times the length of vector B. If the two vectors point in directions 90° apart, the dot product is 0 since neither has a component in the other's direction. If they point in the same exact direction, it is just the full length of A times the full length of B.

Mathematically, the dot product of vectors A and B defined as |A| * |B| * Cos θ, where |A| and |B| are the lengths of vectors A and B, and θ is…