seven-dimensional cross product
bilinear operation on vectors in seven-dimensional Euclidean space
Facts
5 properties- Subclass of
- vector multiplication[1]
- Facet of
- seven-dimensional space[2]
- Defining formula
- \begin{aligned}e_i\times e_j&=\epsilon_{ijk}e_k \\ \epsilon_{ijk}&=\epsilon_{jki}=-\epsilon_{jik}\\\epsilon_{ijk}&=1\quad(ijk\in\{ 123, 145, 176, 246, 257, 347, 365\})\end{aligned}[3]
- In defining formula
- \times[5]
- Maintained by WikiProject
- WikiProject Mathematics[4]
🏷️ Also known as
en seven-dimensional cross product
fr produit vectoriel en dimension 7
ja 7次元クロス積
ko 칠차원 외적
ko 7차원 외적
pt produto cruzado de sete dimensões
ru векторное произведение в семимерном пространстве
uk Семивимірний векторний добуток
zh 七維叉積
zh 七維向量積
🔗 Connections
Facet of 1
Maintained by WikiProject 1
Subclass of 1
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