The Product of Three Vectors

As a sort of continuation of last week's short, we apply last week's identity to derive a new identity for the geometric product of three vectors. While this identity isn't as useful as some of the other recent ones, we'll see an application of it next week.

Patreon Supporters:
David Johnston
Jason Killian
jerrud
p11
Richard Penner
trb

[lih]

It's kind of cool that (w.u)*v is negative because it dots two vectors that are not directly next to each other

[pochotom]

Why are these topics that developed in the 19th century not taught in universities?

[mariatakayama]

Can you make a short about “commutator product”？

[Matityahu-the-God]

I don't even know what those symbols mean 😭. Then it started splitting up and getting complicated. Shit feels like a memetic hazard.