3. Let \(\vec{r}\) denote a position vector \(\vec{r} = x_i\hat{e}_i\), \(r^2 = x_ix_i\), and let \(\vec{A}\) be an arbitrary constant vector. Show that:
1. \(\nabla(\vec{r}.\vec{A}) = \vec{A}\)
2. \(\nabla.(r\vec{A}) = \frac{1}{r}(\vec{r}.\vec{A})\)
