Confusion in Argand plane When I say a argand plane , in my textbook it says the plane having a complex number assigned to each of its point. I interpreted a meaning for this statement down below , let me know if it’s correct
Second is does it mean that when I talk about a plane. It is like x and z axis is one plane , x and y axis , y and z axis . So , it has to be 2D.  x,y and z axis all together can’t be an argand plane. Is this correct ?
Confusion in ordered pairs :

So , there is no squaring of numbers done here like R ^2 as written . That is my confusion.
The expression “Argand plane” simply means the set $\Bbb C$ of complex numbers, when we see it as a plane, that is, when we identify each complex number $a+bi$ ($a,b\in\Bbb R$) with the point $(a,b)\in\Bbb R^2$. So, yes, it is a $2$-dimensional thing.
It says Argand plane, not any volume, is n't it?
The Argand diagram  contains points  $z= x+iy$  and lines in the  the complex plane.