System and method for invoking 2D and 3D operational modes of a 3D pointing device in a 3D presentation system. A 3D stereoscopic scene and a 2-dimensional (2D) scene are displayed concurrently via at least one stereoscopic display device. A current cursor position is determined based on a 6 degree of freedom 3D pointing device. The cursor is displayed concurrent with the 3D stereoscopic scene and the 2D scene, where the cursor operates in a 2D mode in response being inside a specified volume, where, in the 2D mode, the cursor is usable to interact with the 2D scene, and where the cursor operates in a 3D mode in response to being outside the specified volume, where, in the 3D mode, the cursor is usable to interact with the 3D stereoscopic scene.