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Thread: What am i doing wrong (Stoke's Theorem for Planes)

  1. #1
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    What am i doing wrong (Stoke's Theorem for Planes)

    What am i doing wrong (Stoke's Theorem for Planes)-capture.png

    My normal vector calculated is <1,2,3> since my surface parametrization is <1-2y-3z,y,z> Ty = <-2,1,0> Tz=<-3,0,1> --> TyxTz=<1,2,3>

    I integrate the dot product of <1,2,3><2y,-3z,4-8y-12z> = -22y-42z+12 from z=0 to z=-2/3y+1/3 and y=0 to 1/2.

    The answer i get is 11/36.

    What went wrong?
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  2. #2
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    Re: What am i doing wrong (Stoke's Theorem for Planes)

    you didn't take the curl of F.
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