The vector $\overrightarrow{\boldsymbol{v}}$ is defined as
$$\overrightarrow{\boldsymbol{v}}=z x \hat{\imath}+2 x y \hat{\jmath}+3 y z \hat{k} .$$
Which one of the following is the CORRECT value of divergence of $\vec{v}$, evaluated at the point $(x, y, z)=(3,2,1)$ ?
- $0$
- $3$
- $14$
- $13$