Find the divergence and curl for the following vector fields.

The vector field $F(x,y,z)=(yx,z^{3}y,z^{2}y{x}^3)$ in $R^3$

The vector field $G(x,y)=(sin(yx),sin(xy))$ in $R^2$

Use multiplication signs, and square brackets for vectors. Your answers will depend on $x,y,z.$

divF$=$grad$*F=q,$

curlF$=$grad$F=$

divG$=$grad$*G=$

curlG$=$grad$G=q,$