You control the camera motion, and therefore the animation, by linking the camera and its target to a point or a path.
To create an animation using motion paths, you link the camera and its target to either a point or a path. If you want the camera to remain still, link it to a point. If you want the camera to move along a path, link it to a path.
If you want the target to remain still, link it to a point. If you want the target to move, link it to a path. You cannot link both the camera and the target to a point.
Use the same path when you want the animation view to follow in line with the camera's path. You do this by setting the target's path to None in the Motion Path Animation dialog box. This is the default setting.