Question5. Consider the oriented curve $C$ consisting of the following three line segments: from $(0,0,0)$ to $(2,1,1)$, followed by $(2,1,1)$ to $(2,-1,1)$, followed by $(2,-1,1)$ to $(0,0,0)$. (a) Let $\vec{F}(x, y, z)=x y \vec{\imath}+y \vec{\jmath}+y z \vec{k}$. Compute the integral of $\vec{F}$ along $C$. (b) Let $\vec{F}(x, y, z)=\left(z^{2} \cos y\right) \vec{\imath}-\left(x z^{2} \sin y\right) \vec{J}+(2 x z \cos y) \vec{k}$. Compute the integral of $\vec{F}$ along C.