# Cross product by epsilon ijk method

## 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.

vela
Staff Emeritus
Homework Helper
I know Wikipedia, but if someone would bother to actually solve the question, I will be glad.

cristo
Staff Emeritus