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Geometric Algebra in 2D - Two Reflections is a Rotation

Mathoma 18,461 lượt xem 8 years ago
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In this video, we will observe that the composition of two reflections through two vectors is equivalent to a rotation by twice the angle separating those two vectors. It's a neat geometric fact that we'll show in 2D but will help us understand higher-dimensional rotations, especially in the important case of 3D rotations.

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