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

Show using Stoke's Theorem that

S is an open surface with boundary C (a space curve). [tex]f(\vec r)[/tex] is a scalar field.

2. Relevant equations

Stoke's theorem [tex]\iint_S (\nabla\times \vec F) \cdot d\vec S = \int_C F \cdot d\vec r[/tex]

3. The attempt at a solution

Thus far I've tried evaluating [tex] (\nabla f)\times d\vec S[/tex] by taking components in various ways and then trying to force it to become something that I can take the curl of... with no success at all. I'm completely stumped now.

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# Homework Help: Identity proof using Stoke's Theorem

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