2D Rotations in Geometric Algebra

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In two-dimensional vanilla geometric algebra, multiplying a vector by the product of two other vectors rotates the vector by the angle between them. But why is that? That's the question I answer in this short.

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Bro what happened to that playlist on geometric algebra? I started seeing it last week, after watching your video showing the power of geometric algebra. I haven't finished it yet but its incomplete I think.

AnkitKumar-cdfe
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As a pure math student, i hate this so much. This is so wrong on so many different levels, its insane.

msq