(Solved): 1. The vector field F is shown below in the xy-plane and looks the same in all other horizontal pla ...

1. The vector field $\vec{F}$ is shown below in the $xy$-plane and looks the same in all other horizontal planes. (In other words, $\vec{F}$ is independent of $z$ and its $z$-component is 0 .) (a) Is $\mathrm{div}\vec{F}$ positive, negative, or zero? Explain. (b) Determine whether curl $\vec{F}=\overrightarrow{0}$. If not, in which direction does curl $\vec{F}$ point?