In mathematics, the seven-dimensional cross product is a binary operation on vectors in a seven-dimensional Euclidean space. It is a generalization of the ordinary three-dimensional cross product. The seven-dimensional cross product has the same relationship to the octonions as the three-dimensional cross product does to the quaternions. Nontrivial binary cross products exist only in 3 and 7 dimensions. There are no higher-dimensional analogs.
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- In mathematics, the seven-dimensional cross product is a binary operation on vectors in a seven-dimensional Euclidean space. It is a generalization of the ordinary three-dimensional cross product. The seven-dimensional cross product has the same relationship to the octonions as the three-dimensional cross product does to the quaternions. Nontrivial binary cross products exist only in 3 and 7 dimensions. There are no higher-dimensional analogs.
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- In mathematics, the seven-dimensional cross product is a binary operation on vectors in a seven-dimensional Euclidean space. It is a generalization of the ordinary three-dimensional cross product. The seven-dimensional cross product has the same relationship to the octonions as the three-dimensional cross product does to the quaternions. Nontrivial binary cross products exist only in 3 and 7 dimensions. There are no higher-dimensional analogs.
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- Seven-dimensional cross product
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