A vehicle includes a display apparatus. The display apparatus includes a display unit, an optical sensor unit, a touch sensor unit, and a processor. The processor can determine whether a hand is located within a first distance range away from the display unit and whether the hand is located within a second distance range away from the display unit that is closer to the display unit than the first distance range. The optical sensor unit is configured to recognize the received light based on the hand being located within the first distance range, and the touch sensor unit is configured to recognize the hand based on the hand being located within the second distance range. The processor can cause the touch sensor unit to operate based on a determination that the hand has transitioned from being located within the first distance range to being located within the second distance range.