You can either look on the front of the drive, looking for the DVD Rom and RW logos. Or, you can look in the Device Manager under DVD/CDROM drives. Your drives will be listed there, and it will tell you if it's DVDRW.
I believe that, in order to be able to view a DVD on a home DVD player, having a DVD Recorder in your PC is only half of the equation; the other half being that you'll also need some kind of DVD Authoring software in order to create a DVD that will work on your Player.
In case there's no DVD Recorder in your PC but you do have a CD Recorder, another option for you (in case the size of your movies permit it AND your DVD Player supports VCDs) is to create Video CDs instead.
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