There are a couple of ways to remove these items from the drive.
One is with the $15 shareware app, BlueHarvest. It will remove the AppleDouble files from the drives you want the ._ files removed from, and has an option to prevent them from being written to non Apple formatted drives in the first place.
But the free and pretty easy way to do it is to use Terminal. From what I can see in the manual for your projector, you can only get images to it on either an SD card or a USB flash drive. So I'm going to assume a USB drive for the following.
Plug in your MS-DOS formatted drive so it appears on the Mac desktop. Open Terminal and enter:
dot_clean -m
Enter a space after the -m . Then drag and drop the icon of your flash drive into the Terminal window. It will fill in the path of the drive. Press Enter. All ._ files will be removed from that volume.
Actually, I think it removes all files that start with a period. None of which are of any great importance on a DOS formatted drive. Such as the hidden trash for that drive. The next time you plug the drive in, OS X will simply recreate it.