Addendum to A Swift Introduction to Geometric Algebra

This video is an addendum to my most popular video, A Swift Introduction to Geometric Algebra. It clears up some misunderstandings that have arisen from the original video, and then describes two useful ways of understanding the geometric product. This also leads to a discussion of the other flavors of geometric algebra, such as PGA and CGA. If you want to learn geometric algebra at a much slower pace, check out my video series From Zero to Geo. Here's a link to the playlist for it: https://www.youtube.com/playlist?list=PLVuwZXwFua-0Ks3rRS4tIkswgUmDLqqRy Discord: https://discord.gg/3Zj59zA2Rg Patreon: https://www.patreon.com/sudgylacmoe Patreon Supporters: AxisAngles Bill Six Richard Penner Rosario Sections 00:00 Introduction 01:00 Common Misunderstandings 02:28 Understanding the Geometric Product 03:37 Product of Two Vectors 05:32 Product of Vector With Bivector 07:26 Product of Two Bivectors 09:18 Product of Two Multivectors 09:42 Other Flavors of Geometric Algebra 10:58 Revisiting the Geometric Product 12:43 Geometric Product in VGA 14:44 Problem With 3D Reflections 16:09 2D PGA 19:37 3D PGA 20:47 2D CGA 22:56 Conclusion