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by Koshkin 3117 days ago
One problem with cross product, it only exists in three dimensions.
2 comments
wolfgke 3116 days ago
No, it exists in dimension 3 and 7:

> https://en.wikipedia.org/wiki/Seven-dimensional_cross_produc...

EDIT: Nore precisely: A common way to axiomatize the cross product yields a cross products exactly in dimension 3 and 7.

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sixo 3116 days ago
A wedge product exists in all dimensions but only in 3 & 7 is it identifiable with a unique vector.
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