Possibly, but I wouldn't due to the potential of a short. The flexwatt will be fine secured directly on the shelf by the foil tape.
No, do NOT do this. Either get smaller tape, or shift the 11" tape back to where some hangs out from under the tub, but DO NOT CUT it.
With flexwatt it's not the size, but the wattage density (watts per square inch) that determine the amount of heat given off. As such, 3 inch flexwatt at 6 watts will get hotter than 11 inch at 20 watts because it's more dense, and if you shorten an 11 inch piece, you will be concentrating that 20 watts across say 5 inches, which WILL result in failure, possibly burning the flexwatt and anything on it.