A:AnswerYes, this monitor is capable of outputting 3D movies. Most likely than not you will have to purchase third party 3D vision glasses in order to properly experience it. If you have a blu-ray player or another media player that supports 3D movies, this monitor can project it.
A:AnswerAs long as your DVD player has an HDMI out absolutely. I have my playstation 4 running into it and play DVD and bluray movies into it without any problems.
A:AnswerIt does sync with either amd or nvidia. I have this monitor myself. Sync with gpu is nice but not necessary. However this monitor syncs with both gsync & freesync
A:AnswerPS3 is not capable of 144hz gaming so I would suggest saving your money by buying a 60hz monitor to go along with the (sub-par and inferior to pc gaming) 30-60 fps gaming