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Math Help - Stokes' Theorem proof

  1. #1
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    Stokes' Theorem proof

    Use Stokes' Theorem for the vector field c x r, where c is an arbitrary constant vector, to deduce that \frac{1}{2}\oint_{C} r \times dr equals the vector area of any open surface bounded by the closed curve C, with the directions of dS and C related by a right-hand rule.
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  2. #2
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    Re: Stokes' Theorem proof

    Okay, what, exactly, does "Stoke's theorem" say? That would be good place to start.
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    Re: Stokes' Theorem proof

    it says that \int\int_{S} n \cdot (\nabla \times f) dS = \oint_{C} f \cdot dr

    i still don't understand how i can use that to solve my problem
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  4. #4
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    Re: Stokes' Theorem proof

    Good! But notice that your problem has the cross product with the line integral. You need to find a function, f(r), such that f\cdot dr= ||r\times dr||.
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  5. #5
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    Re: Stokes' Theorem proof

    im still incredibly stuck with this question! i dont even know what it is asking.
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