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Tensor Notation for Triple Scalar Product Squared
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[QUOTE="forestmine, post: 4523157, member: 376563"] [h2]Homework Statement [/h2] Hi all, Here's the problem: Prove, in tensor notation, that the triple scalar product of (A x B), (B x C), and (C x A), is equal to the square of the triple scalar product of A, B, and C. [h2]Homework Equations[/h2] [h2]The Attempt at a Solution[/h2] I started by looking at the triple scalar product of A, B, and C. I know that I can write that as ε[itex]_{ijk}[/itex]A[itex]_{i}[/itex]B[itex]_{j}[/itex]C[itex]_{k}[/itex]. This is about as far as I got. Initially, I did something different that got me further, but I think I was interpreting the problem incorrectly. What I did was set a = (AxB), b = (BxC), and c = (CxA), thinking that the square of the triple scalar product was referring to the triple scalar product of a, b, and c, but upon reading the problem again, I don't think that that's right. That being said, I'm not sure where to go from here. I know that the subject of tensors is a particularly difficult one to discuss over the web, especially without just spelling out the answer -- which I'm certainly not looking for. But that being said, I'm pretty lost, and could use a lot of help in the right direction. Thanks so much! [/QUOTE]
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Tensor Notation for Triple Scalar Product Squared
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