1.12.16 Vector analysis

condition: For the vector field \( \vec{a}=\left(3 x^{2} y+2 x z^{3}\right) \vec{\imath}+\left(x^{3}-\right. \) \( -2 y z) \vec{\jmath}+\left(3 x^{2} z^{2}-y^{2}\right) \vec{k} \) calculate \( (\nabla \cdot \vec{a}) \cdot|\nabla \times \vec{a}| \) and \( \nabla(\nabla \cdot \vec{a}) \) or \( \operatorname{grad}(\operatorname{div} \vec{a}) \).