Here's one I can help with! I work for a national fire alarm company and was also a firefighter! But heres the bad news, there is no straight answer! There are actually very many types of smoke detectors out there. See, a smoke detector doesnt necessarily look for smoke, but actually look for conditions that are present during a fire. Which is why people tend to have false alarms!Smoke detector has just become a generic term for an alarm activating device! Ill go over a few basic types!
Some "smoke detectors" called rate of rise, are actually sensing the heat in the room, now just because the room is hot doesnt mean it will necessarily go off, the smoke detector looks for a quick heat change say a change of 10 degrees every minute or so. your PV will NOT set this type off.
Some detectors, photo electric have a small IR light in them, the same type as your tv's remote control and sends that light to a photo sensor ( you have these in your car on the dashboard sometimes, they tell your car if its dark enough to turn on the automatic headlights) if this path is blocked by smoke or in our case vapor then yes, this device could go off! BUT due to the height of these detectors our vapor has already most likely dissipated into the air to cause this reaction, while possible, it is still not very likely!
another type takes air samples looking for chemicals in the air pre combustion, or pre fire in more generic terms. These devices are not typically found in a residential or commercial building and are more common in industrial settings where heat and smoke tend to be constant, such as a manufacturing or welding shop! you will NOT set one of these bad boys off.
The most common detector is the photo sensitive one, and you do have a slight possiblity of setting it off. very very minimal though. IF you want to be super cautious about it hold your drag in a little bit longer to allow less vapor on your exhale and you should be golden! Also, take care around air vents in the ceiling such as HVAC ducts, as these devices tend to have smoke detectors in them, this is a more condensed area than wide in the open so getting vapor directly in them can greatly increase the risk of a false alarm if the vent is shut off as there is less air space! But keep on vaping and dont let it bother you, just make sure to take care in very enclosed spaces and if your PV throws off a high amount of dense vapor (very common using 100% VG juices!)