Devices exceeding these limits, such as high-capacity power tools or specialized equipment ... are completely powered off if placed in checked baggage. This precaution minimizes the risk of ...

Because of that, it just makes sense for you to put your e-cigarette in your check-in luggage and just take it out after you land. However, the FAA prohibits this because e-cigarettes use lithium ...

All power tools must go in your checked baggage. You can bring one book of safety matches on board, but not matches that can be struck anywhere; matches cannot go in checked baggage, either.