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Cross product by epsilon ijk method

  • Thread starter physiker99
  • Start date
  • #1
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Homework Statement


I need to calculate Ax(BxC) -A, B, C are vectors, apart from bac-cab rule, I need to get it by epsilon ijk -Following I will note it by e(ijk).

Homework Equations


I expect answerer to know kronecker delta equation and vector multiplications.


The Attempt at a Solution



e(ijk)*A(i)*(B*C)(j)
= e(ijk)*A(i)

(BxC)(j) = e(mjn)B(n)C(m)

After that part I'm stuck. As you can see below, I rotate the ijk's and mjn's to match j's at the end, but I fail.

e(ijk)*A(k)*e(mjn)*B(n)*C(m)

Can you help me after that?
Lettters in parantheses (i, j, k, m, n) are supposed to indicate the indices.
 

Answers and Replies

  • #2
vela
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I know Wikipedia, but if someone would bother to actually solve the question, I will be glad.
 
  • #4
cristo
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I know Wikipedia, but if someone would bother to actually solve the question, I will be glad.
I'm afraid that's not how things work around here-- if you come here asking a question you should be prepared to put in the work to find the solution. Homework helpers are here to help guide you to a solution.

So, can you apply some of the relations on the page vela showed you to your problem?
 

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