Let $Cbe$ the rectangle $in{R}^3$ with vertices $at(0,0,0),(3,0,0),(3,6,2),$ and $(0,6,2).$ Orient $Cin$ the

counter$-$clockwise direction when viewed from above. Let vec$(F)be$ the vector field

vec$(F)=($:$y^2,3y{e}^z,9xz$:$)$

Use Stoke's Theorem $to$ help calculate

$o{\displaystyle \underset{C}{\overset{\phantom{}}{}}}$vec$(F)*dvec(r)$