Let vec$(F)=$xzvec$(i)+$xyzvec$(j)-y^2$vec$(k).$

a$)$ Find grad$*vec(F).$

b$)$ Find grad$$vec$(F).$

c$)$ Is vec$(F)$ a gradient field $($can be written as a gradient of a scalar function$)?$

d$)$ Is vec$(F)$ a curl field $($can be written as a curl of another vector field$)?$

e$)$ Find grad$*(grad$vec$(F)).$