Use Stoke's Theorem to calculate $\displaystyle \oint F \cdot dr$, where C is the closed oriented curve. and F(x,y,z)=<$\displaystyle 1/2z^2-1/2y^2,1/2x^2-1/2z^2,1/2y^2-1/2x^2$.
Use Stoke's Theorem to calculate $\displaystyle \oint F \cdot dr$, where C is the closed oriented curve. and F(x,y,z)=<$\displaystyle 1/2z^2-1/2y^2,1/2x^2-1/2z^2,1/2y^2-1/2x^2$.