1. A display apparatus comprising: an image collection unit to collect an image of a user; a sound collection unit to collect a voice of the user; a gaze recognition unit to recognize a gaze of the user using the collected image; a motion recognition unit to recognize a motion of the user using the collected image; a voice recognition unit to recognize a voice of the user using the collected voice; a controller configured to determine whether the recognized gaze is within a predetermined recognition region and to control entry into an interactive mode upon determining that the recognized gaze is within the predetermined recognition region; and a display unit to display an image corresponding to the interactive mode, wherein, upon entering the interactive mode, the controller is configured to control display of a plurality of recognition modes for interaction with the user, the plurality of recognition modes including a gaze recognition mode, a motion recognition mode and a voice recognition mode, and to select one of the plurality of recognition modes based on a position of the recognized gaze, wherein if the gaze recognition mode is selected, the controller is configured to control the motion recognition mode and the voice recognition mode to be turned off, wherein if the motion recognition mode is selected, the controller is configured to control the gaze recognition mode and the voice recognition mode to be turned off, and wherein if the voice recognition mode is selected, the controller is configured to control the gaze recognition mode and the motion recognition mode to be turned off.