DLMF:1.6.E18 (Q199)

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DLMF:1.6.E18
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    a j 𝐞 j × b k 𝐞 k = ϵ j k a j b k 𝐞 ; subscript 𝑎 𝑗 subscript 𝐞 𝑗 subscript 𝑏 𝑘 subscript 𝐞 𝑘 Levi-Civita 𝑗 𝑘 subscript 𝑎 𝑗 subscript 𝑏 𝑘 subscript 𝐞 {\displaystyle{\displaystyle a_{j}\mathbf{e}_{j}\times b_{k}\mathbf{e}_{k}=% \epsilon_{jk\ell}a_{j}b_{k}\mathbf{e}_{\ell};}}
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