Verify Stokes' theorem for the vector field F(x, y, z) = zî + xj+ yk taken over the half of the sphere x + y +z = a° lying above the xy-plane; where C is the boundary of this sphere is on the surface...

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Extracted text: Verify Stokes' theorem for the vector field F(x, y, z) = zî + xj+ yk taken over the half of the sphere x + y +z = a° lying above the xy-plane; where C is the boundary of this sphere is on the surface z = 0 with anti-clockwise orientation looking down the positive z- axis.