I need help proving the following vector calculus identity:
$$ \oint_{\partial V} (\mathbf{\hat{n}} \times \mathbf{A}) \; \mathrm{d}S = \int_V (\nabla \times \mathbf{A}) \; \mathrm{d}V $$
the identity is also found on this link, under "Surface–volume integrals".
Thank you very much