Consider vec$(F)=($:$y,1$:$)$ and $Cis$ the unit circle with positive orientation. Plot the vector

field along with the curve $C.$ Evaluate ${\displaystyle \underset{C}{\overset{*}{}}}F*dvec(r)(show$ work$).$ Can you say something about

the integral $of$ vec$(F)=($:$y,0$:$)$ along the same curve without another computation?