(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

If the divergence of a vector field is zero, I know that that means that it is the curl of some vector. How do I find that vector?

2. Relevant equations

Just the equations for divergence and curl. In TeX:

[tex]\nabla\cdot u=\frac{\partial u_x}{\partial x}+\frac{\partial u_y}{\partial y}+\frac{\partial u_z}{\partial z}[/tex]

and the equivalent for curl.

3. The attempt at a solution

I really don't know at all how to find an answer.

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# If the divergence of a vector field is zero

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