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**mathnerd** Speaking of that "quaternion vs. vector war", it seems both sides held bizarre points of view. Hamilton thought that quaternions could do everything and if you weren't using quaternions, then there was something wrong with you. On the other hand, Heaviside and Gibbs just figured that you could dissect the quaternion, pull out the cross product and dot product, and kick away the ladder, pretending you never needed the quaternions in the first place. Unfortunately, when you do that, the dot product and cross product become mysterious and unmotivated.

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