Maths checks out on both of these. That rejects all my current ideas for uses for these values.
The question's not pertaining to the value of the quantities. They could both for example in combination be solving the exact same problems normal, vector, kinetic energy, and normal, scalar...
A vector, defined not using mathematics, is a direction (observational concept, such as rightwards), a base measurement (observational concept, such as ye long), and a quantity (more than one of the base measurement, such as a ye long and then another ye long).
The fact that it's also defined...
I'm not interested in the mathematical derivation, the mathematical derivation already is based on the assumption that momentum is a vector and kinetic energy is a scalar, thus it proves nothing.
Specifically, what happens if we discuss scalarized momentum? What happens if we discuss vectorized...