A method and system for an interactive controller device comprising a two axis sensor in combination with one or more other sensors for hand-held devices operated in mid-air. A time sequence of measurements in three linearly independent directions is used to extract the angles of rotation around one or more distinct axes. A method is disclosed to approximately determine a transformation matrix, T, of a device orientation from a sequence of single vector measurements as a combination of rotations about specified axes. Calculated rotation angles can then be used to calculate changes in a controller or pointer position and a rate change thereof.