I understand that $\nabla$ in general orthogonal coordinate $(u_1,u_2,u_3)$ as follows:
$$ \nabla=\mathbf{a}_{u_1}\frac{\partial}{h_1\partial u_1}+\mathbf{a}_{u_2}\frac{\partial}{h_2\partial u_2}+\mathbf{a}_{u_3}\frac{\partial}{h_3\partial u_3}\tag{1} $$
It is also given that for general curvilinear coordinates $(u_1,u_2,u_3)$
$$ \nabla\cdot\mathbf{A}=\frac1{h_1h_2h_3}\left[\frac{\partial}{\partial u_1}(h_2h_3A_1)+\frac{\partial}{\partial u_2}(h_1h_3A_2)+\frac{\partial}{\partial u_3}(h_1h_2A_3)\right]\tag{2} $$
Assuming $\mathbf{A}$ is in curvilinear coordinates, apply directly equation (1) to $\mathbf{A}$ does not give me equation (2) .... or am I missing anything?
Clarification on what I am trying to do.... please point out any mistake..
I am taking that A= $\mathbf{a}_{u_1}$$A_1$ + $\mathbf{a}_{u_2}$$A_2$ + $\mathbf{a}_{u_3}$$A_3$
To make thing really simple, let assume A has only 1 term : A=$\mathbf{a}_{u_1}$$A_1$
so $\nabla\cdot\mathbf{A}$ = ($\mathbf{a}_{u_1}\frac{\partial}{h_1\partial u_1}$). ($\mathbf{a}_{u_1}$$A_1$)
which end up as $\nabla\cdot\mathbf{A}$ = ($\frac{\partial A_1}{h_1\partial u_1}$)
But the equation 2 first term shows $\frac1{h_1h_2h_3}[\frac{\partial}{\partial u_1}(h_2h_3A_1) ] $ .. somthing is wrong ..