1.12.13 Vector analysis

condition: Find \( (\nabla \cdot \vec{a}) \) and \( |\nabla \times \vec{a}| \) for the vector field \( \vec{a}=(2 x \vec{\imath}+3 y \vec{\jmath}+z \vec{k}) \cos |\vec{r}| \), where \( \vec{r} \) is the radius vector of the point.