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Surface Integral of Vector fields

  1. Dec 1, 2011 #1
    1. The problem statement, all variables and given/known data
    Use Stokes' Theorem to evaluate ∫C F · dr. C is oriented counterclockwise as viewed from above.

    F(x, y, z) = (x + y^2) i + (y + z^2) j + (z + x^2) k

    C is the triangle with vertices (9, 0, 0), (0, 9, 0), and (0, 0, 9).


    2. Relevant equations

    Stokes' Theorem

    3. The attempt at a solution

    I really need help with this, can someone explain it to me?
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Dec 2, 2011 #2

    HallsofIvy

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    Staff Emeritus
    Science Advisor

    Do you know what Stoke's theorem says?

    If you honestly are not able to make any attempt at all then you need more help than we can give. I recommend you talk to your teacher about this. Quite frankly, if you know what Stoke's theorem says, this is very easy problem.
     
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