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A cross product in 7 dimensions
( go to the article → https://www.johndcook.com/blog/2020/12/02/a-cross-product-in-7-dimensions/ )
Can you define something like cross product of three-dimensional vectors in other dimensions? That depends on what you mean by a product being “like” the familiar cross product. In [1] Walsh lists several properties of the cross product, and proves that there exists a product with these properties only in dimensions 1, 3, and 7. […] The post A cross product in 7 dimensions first appeared on John D. Cook.
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