In my r3f project, I have a camera that Is moving on the negative z-axis, below it I have 3 meshes(plane mesh with 10 for width and heigh), I rotated them and positioned them on the z-axis in such away that they looks like one plane (straight line), now the question is, I want to make the camera as if it is moving on infinte plane dimension, I got an idea which is when the camera passes the first plane (the first plane is positioned at 0,0,0) which will be at z position less than 10 to -20, then I want to move that plane to -30 z, and when the camera be at position less than 20 to -30, I want to move the second plane ( which initially will be at 0,0,-20 to -40, and so on, I hope you understood my explanation 
I think I understood but next time I suggest you to share the code or do some drawing to reference better.
If I understood well you want to do triggered changes. So when the camera get on a determined point the plane changes your position.
You can use intersectObjects from raycaster to achieve this goal.
https://threejs.org/docs/index.html?q=raycas#api/en/core/Raycaster
Create points on the XYZ positions that you want to trigger the position transition and determine a condition that will be activated at the moment the camera get on a determined position distance from this point.