How to prove this? $$\nabla\times(\varphi\mathbf{F}) = \nabla\varphi\times\mathbf{F} + \varphi\nabla\times\mathbf{F}.$$
$\varphi$ is a scalar valued function and $F$ is a vector field.
How to prove this? $$\nabla\times(\varphi\mathbf{F}) = \nabla\varphi\times\mathbf{F} + \varphi\nabla\times\mathbf{F}.$$
$\varphi$ is a scalar valued function and $F$ is a vector field.
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