Writing w^2 in Index Notation for Derivation with del X u

[davcrai]

Homework Statement

I need to write w^2 in suffix notation for a derivation I am doing, where w = del X u

Homework Equations

(del X u) = w

The Attempt at a Solution

I think it is Eijk(d^2uk/dxj)

where d is the partial derivative, E is the epsilon operator and ijk are suffix's, is this correct?

 

[cristo]

By w^2 do you mean $w \cdot w$? What is $\nabla \times u$ in index notation? Then you need to write $(\nabla \times u) \cdot (\nabla \times u)$ in index notation.