Hello! I'm want to prove a vector identity for(adsbygoogle = window.adsbygoogle || []).push({});

[tex](\nabla \times \vec{A}) \times \vec A[/tex]

using the familiar method of levi-civita symbols and the identity

[tex]\epsilon_{kij}\epsilon{kmn} = \delta_{im}\delta_{jn} - \delta_{in}\delta{jm}[/tex],

but I don't seem to come up with any usefull answer. I end up with that

[tex][(\nabla \times \vec{A}) \times \vec A]_k = (\partial_j A_k)A_j - (\partial_k A_j)A_j[/tex]

, which doesn't seem to reduce something familiar in terms of vectors and vector operators. Any idea how I might get there?

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# Identity for the cross of a curl?

Can you offer guidance or do you also need help?

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