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.