A projector includes an imaging section for generating imaging data obtained by taking an image of first light emitted by a first pointing member, second light emitted by a second pointing member, and a target range, and a position detection section for detecting a first position and a second position with respect to the target range based on the imaging data so as to be distinguished from each other, and the imaging section includes a sensor for outputting detection values of first colored light, second colored light, and third colored light to detect first infrared light and light with a first wavelength included in the first light, and second infrared light and light with a second wavelength different from the first wavelength included in the second light with the sensor.