![Why can't you multiply vectors? [Dutch Game Day, 2023]](https://i.ytimg.com/vi/htYh-Tq7ZBI/hqdefault.jpg)
Recorded at Dutch Game Day 2023, October 4th
Timestamps:
00:00 Intro
04:34 Talk Start
05:17 Anatomy of a Vector
06:09 Products
09:14 Numbers of different kinds
13:32 Complex Numbers
18:10 Code for complex numbers
19:10 Complex multiplication visualized
20:22 Multiplying Vectors (an attempt)
24:08 Frustration
24:36 A Leap of Faith
25:36 A divine axiomatic truth
26:40 Squaring Basis Vectors
27:46 The Diagonal of Bases
29:09 Vector multiplication unraveling
29:36 Dot/Cross Byproducts
30:32 Complex Byproduct
31:17 Quaternionic Byproduct
31:52 The Answer
32:52 Beyond the Algebra
33:29 Basis Bivectors
35:06 Conceptualizing Vectors & Bivectors
37:08 Wedge Product
38:46 Curvature Bivector
40:59 Mental Gymnastics
41:56 Geometric Algebra & Multivectors
43:19 What does the multiplication represent?
44:10 Outro
45:53 Q: When is this useful?
48:11 Q: Does your math lib support geometric algebra?
49:22 Q: Do you plan on making tools for other engines?
50:53 AV team kicking us out
Patreon ❱ https://www.patreon.com/acegikmo
Twitter ❱ https://twitter.com/FreyaHolmer
Twitch ❱ https://www.twitch.tv/acegikmo
Discord ❱ https://discord.gg/v5VWuga
Mailing list ❱ https://acegikmo.substack.com/
Instagram ❱ https://instagram.com/freya_holmer
Take the opportunity to connect and share this video with your friends and family if you find it useful.
No Comments