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For a vector field in cylindrical coordinates $\vec A = A_p\hat e_p + A_\phi\hat e_\phi + A_z\hat e_z$ the formulas are $$ \nabla\cdot \vec A=\frac{1}{p}\frac{\partial(pA_p)}{\partial p}+\frac{1}{p}\frac{\partial A_\phi}{\partial\phi}+\frac{\partial A_z}{\partial z}, $$ and $$ ___ ___ ___ ____ ________ ________ _________.
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