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Algebra of 3D Rotations about 0
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Classroom Contents
The Rotation Problem and Hamilton's Discovery of Quaternions - Part 2 - Famous Math Problems 13b
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- 1 Introduction to rotations and their composition-
- 2 Rotations of 3-Dimensional space geometrically
- 3 Planar situation
- 4 Algebra of planar rotations
- 5 Rotation of 3D space as a product of 2 reflections
- 6 Algebra of 3D Rotations about 0
- 7 Euler theorem - The product of two rotations is a rotation
- 8 The analytic approach via Linear Algebra
- 9 How to define 2 directions to be perpendicular; vectors
- 10 Cross product of 2 vectors