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 $x+y+z=0$.
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 $x+y+z=0$.