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Beyond the Algebra
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Classroom Contents
Why Can't You Multiply Vectors? - A Mathematical Journey into Vector Multiplication
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- 1 Intro
- 2 Talk Start
- 3 Anatomy of a Vector
- 4 Products
- 5 Numbers of different kinds
- 6 Complex Numbers
- 7 Code for complex numbers
- 8 Complex multiplication visualized
- 9 Multiplying Vectors an attempt
- 10 Frustration
- 11 A Leap of Faith
- 12 A divine axiomatic truth
- 13 Squaring Basis Vectors
- 14 The Diagonal of Bases
- 15 Vector multiplication unraveling
- 16 Dot/Cross Byproducts
- 17 Complex Byproduct
- 18 Quaternionic Byproduct
- 19 The Answer
- 20 Beyond the Algebra
- 21 Basis Bivectors
- 22 Conceptualizing Vectors & Bivectors
- 23 Wedge Product
- 24 Curvature Bivector
- 25 Mental Gymnastics
- 26 Geometric Algebra & Multivectors
- 27 What does the multiplication represent?
- 28 Outro
- 29 Q: When is this useful?
- 30 Q: Does your math lib support geometric algebra?
- 31 Q: Do you plan on making tools for other engines?
- 32 AV team kicking us out
