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Use stokes theorem to show that:

$\int_c ydx + zdy +xdz = -\sqrt{3} \pi a^2$

Where c is the suitably oriented intersection of the surfaces $x^2 + y^2 +z^2=a^2$ and the plane $x+y+z=0$.

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    Do$n$'t u$n$derstand why the $q$uestio$n$ has 3 up-votes... does it show research effort and an attempt at answering the question??2012-11-15

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