a) State and prove Gauss-divergence theorem. b) Show that $\vec{\nabl…

Previous year question for Applied Engineering Physics.

Question

a) State and prove Gauss-divergence theorem.

b) Show that $\vec{\nabla} \frac{1}{|\vec{r}|} = -\frac{\vec{r}}{|\vec{r}|^3}$.

c) Evaluate divergence of $\vec{A}$ where $\vec{A} = -3\hat{i} + 2\hat{j} + 4\hat{k}$

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