Polar Representations of Quaternions

2,370 views · Published 5 November 2010 · 8:04 · Indexed 18 October 2026

Channel: Doug Sweetser · 2010 · Science & Technology

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The polar representation of quaternions is identical to what happens for complex numbers except the imaginary i gets replaced by an imaginary 3-vector, i, j, and k.  To get to an event from the origin requires heading off in a certain direction at a certain speed.  This is what the polar representation of quaternions accomplishes. 

The preprint is available at http://VisualPhysics.org/preprints/QMN1009.2352

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