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Stoke's Theorem Sphere and Plane

  1. May 25, 2009 #1
    1. The problem statement, all variables and given/known data

    Find the flux of the curl of F: [tex]\vec{F}=<yz,xz,xy>[/tex]

    Over S defined by:

    Sphere: [tex]x^{2}+y^{2}+z^{2}=1[/tex]

    Where [tex]x+y+z \geq 1[/tex]

    2. Relevant equations



    3. The attempt at a solution

    I know I have to use Stoke's theorem to evaluate the line integral counterclockwise around the circular path formed by the intersection of:

    [tex]x^{2}+y^{2}+z^{2}=1[/tex]

    and

    [tex]x+y+z = 1[/tex]

    I'm having trouble setting up this line integral. Any insights would be greatly appreciated.
     
  2. jcsd
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