Why Can't You Multiply Vectors? - A Mathematical Journey into Vector Multiplication

Why Can't You Multiply Vectors? - A Mathematical Journey into Vector Multiplication

Freya Holmér via YouTube Direct link

Intro

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1 of 32

Intro

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Why Can't You Multiply Vectors? - A Mathematical Journey into Vector Multiplication

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  1. 1 Intro
  2. 2 Talk Start
  3. 3 Anatomy of a Vector
  4. 4 Products
  5. 5 Numbers of different kinds
  6. 6 Complex Numbers
  7. 7 Code for complex numbers
  8. 8 Complex multiplication visualized
  9. 9 Multiplying Vectors an attempt
  10. 10 Frustration
  11. 11 A Leap of Faith
  12. 12 A divine axiomatic truth
  13. 13 Squaring Basis Vectors
  14. 14 The Diagonal of Bases
  15. 15 Vector multiplication unraveling
  16. 16 Dot/Cross Byproducts
  17. 17 Complex Byproduct
  18. 18 Quaternionic Byproduct
  19. 19 The Answer
  20. 20 Beyond the Algebra
  21. 21 Basis Bivectors
  22. 22 Conceptualizing Vectors & Bivectors
  23. 23 Wedge Product
  24. 24 Curvature Bivector
  25. 25 Mental Gymnastics
  26. 26 Geometric Algebra & Multivectors
  27. 27 What does the multiplication represent?
  28. 28 Outro
  29. 29 Q: When is this useful?
  30. 30 Q: Does your math lib support geometric algebra?
  31. 31 Q: Do you plan on making tools for other engines?
  32. 32 AV team kicking us out

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