- #1

- 39

- 0

## Homework Statement

∫ ∂

_{k}(g

_{i}x

_{i}ε

_{jkl}x

_{l}dV

Can anyone make sense of this? I know I'll need to apply the chain rule when taking the derivative, but I'm not quite sure how to proceed. Also, this is part of a larger problem where g is a gravity vector existing purely in the -z direction, but I treated this as a constant and pulled it outside the integral and got:

g ∫ ∂

_{k}(x

_{i}ε

_{jkl}x

_{l}) dV

## Homework Equations

## The Attempt at a Solution

I don't think we need to get rid of the integral at all, and I'm pretty sure that the final solution will have something of the form: ∫

**x**x ( ) dV (that is a cross product). The TA for the course said that we should get to this, and we need to figure out what is inside the parentheses.

Thanks!