Let $\mathbf{F} = \left( 3 y z \right) \mathbf{i} + \left( 6 x z \right) \mathbf{j} + \left( 2 x y \right) \mathbf{k}$. Compute the following:

A. div $\mathbf{F} =$

B. curl $\mathbf{F} =$ $\mathbf{i} +$ $\mathbf{j} +$ $\mathbf{k}$

C. div curl $\mathbf{F} =$

Note: Your answers should be expressions of x, y and/or z; e.g. "3xy" or "z" or "5"