Chapter 6.7, Problem 353E

For the following exercises, use Stokes’ theorem to evaluate ${\displaystyle {\iint }_s\left(curlF\cdot N\right)dS}$ for the vector fields and surface.

353. Use Stokes’ theorem to evaluate ${\displaystyle \oint F\cdot dS}$ , where $F\left(x,y,z\right)=yi+zj+xk$ and C is a triangle with vertices $\left(0,0,0\right)$ , $\left(2,0,0\right)$ and $\left(0,-2,0\right)$ oriented counterclockwise when viewed from above.