Use the Levi-Civita tensor to prove the following vector identities: [(A x B) x (C x D)] = [(A x B) . D] C - [(A x B) . C] D A x (B x C) = (A . C) B - (A . B) C

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Use the Levi-Civita tensor to prove the following vector identities:

[(A x B) x (C x D)] = [(A x B) . D] C - [(A x B) . C] D

A x (B x C) = (A . C) B - (A . B) C

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