I wouldn't use a second UVB light in that size cage. To be honest, a ten gallon tank isn't suitable for a veiled, unless it's a tiny baby. Be careful with your basking light, and watch the temperature.
Edited to add:
Also, read the recommendations on distance (should be on the packaging or manufacturer's website) for your UVB light to make sure it's not too close. The screen, assuming your cage has a screen top, should cut down some of it, but I'm not sure what the concentration would be at that close of a distance.