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by lupire
848 days ago
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The exterior product is the "correct" version of the cross product.
I'm OK with the good guys seizing the name. Cross product works in dimension 2^k-1 for k in 0,1,2,3. (real / singleton, complex / duonion, quaternion, octonion)
It is trivial in 0D and 1D, defined uniquely in 3D, and unique up to some arbitrary negations in 7D. https://en.m.wikipedia.org/wiki/Seven-dimensional_cross_prod... |
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