Spherical basis vectors in geometric algebra

In this video, the geometric algebra form for the spherical unit vectors will be derived, then unpacked to find the conventional vector algebra form. We will then use our new tools to find the expression for the kinetic energy of a particle in spherical coordinates.

Prerequisites: calculus (derivatives and chain rule), complex numbers (exponential polar form), and geometric algebra basics (single sided rotations, vector multiplication, vector commutation sign changes, ...)

If you liked this material you may be interested in my blog:

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or my book (Geometric Algebra for Electrical Engineers), which is available for free in pdf form at:

https://peeterjoot.com/gaee