Compute the divergence ∇ · F and the curl ∇ ✕ F of the vector field. (Your instructors prefer angle bracket notation < > for vectors.)
F =

3xyez, −2y2zez, 2xez
∇ · F =

3yez−4yzez+2xez
∇ ✕ F =

2y2e2+2y2ze2+3xyez−2ez−3xez