What projector? And whats the setup you're trying to do?
The problem with bluetooth when doing video is the basic bluetooth adapters are high latency so you get a sync issue with the audio not matching up with the video. If the projector is already set up with bluetooth you'll need to check your specs to see what it uses.
If it doesn't and you're setting up an adapter, you'll want to go with a transmitter/receiver setup that uses aptX. There are a few out there. I personally have used Avantree and found them to make good stuff.