The Rotation Problem and Hamilton's Discovery of Quaternions - Part 2 - Famous Math Problems 13b

The Rotation Problem and Hamilton's Discovery of Quaternions - Part 2 - Famous Math Problems 13b

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Algebra of 3D Rotations about 0

6 of 10

6 of 10

Algebra of 3D Rotations about 0

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The Rotation Problem and Hamilton's Discovery of Quaternions - Part 2 - Famous Math Problems 13b

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  1. 1 Introduction to rotations and their composition-
  2. 2 Rotations of 3-Dimensional space geometrically
  3. 3 Planar situation
  4. 4 Algebra of planar rotations
  5. 5 Rotation of 3D space as a product of 2 reflections
  6. 6 Algebra of 3D Rotations about 0
  7. 7 Euler theorem - The product of two rotations is a rotation
  8. 8 The analytic approach via Linear Algebra
  9. 9 How to define 2 directions to be perpendicular; vectors
  10. 10 Cross product of 2 vectors

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