Final answer:
LA Center ATC can vector Allegiant aircraft overwater if they have life vests.
Step-by-step explanation:
The LA Center Air Traffic Control (ATC) can vector an Allegiant aircraft overwater as long as the aircraft is equipped with life vests. Life vests provide buoyancy in the event of an emergency landing or ditching on water. They are designed to keep individuals afloat until they can be rescued.
However, it is important to note that ATC will always prioritize the safety of the aircraft and its passengers. The decision to vector a plane overwater will depend on various factors, including weather conditions, distance from land, and the capabilities of the aircraft.