The goal is to apply one vector to another. You've seen the dot product equation everywhere:Īnd also the justification: "Well Billy, the Law of Cosines (you remember that, don't you?) says the following calculations are the same, so they are." Not good enough - it doesn't click! Beyond the computation, what does it mean? With the quaternions (4d complex numbers), the cross product performs the work of rotating one vector around another (another article in the works!).“Multiply” two vectors when only perpendicular cross-terms make a contribution (such as finding torque).
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