1.12.6 Vector analysis

Problem: Given a vector field \( \vec{a}=(2 x \vec{\imath}+3 y \vec{\jmath}+z \vec{k}) \cos |\vec{r}| \). Calculate scalar and vector products: 1. \( (\nabla \cdot \vec{a}), 2 \). \( [\nabla \times \vec{a}] \).