If I were to define $\nabla$ in spherical polar co-ordinates:
$$ \nabla=\frac{\partial}{\partial{R}}{\vec{e}_R}+\frac{1}{R}\frac{\partial}{\partial{\theta}}{\vec{e}_{\theta}}+\frac{1}{R\sin{\theta}}\frac{\partial}{\partial{\phi}}{\vec{e}_\phi} $$
And the basis vector, $\vec{r}$ as:
$$ \vec{r}=R\sin\theta\cos\phi{\vec{e}_R}+R\sin\theta\sin\phi{\vec{e}_\theta}+R\cos\theta{\vec{e}_\phi} $$
How would I evaluate ${\nabla{\vec{r}}}$? I'm assuming at this point it should equal 1+1+1. I'm just struggling to get there.
For completeness, I am looking to evaluate:
$$ (\vec{A}\cdot{\nabla})\vec{r}=\vec{A} $$