I just started vaping and was going in my room or the bathroom to vape since I didn't want to do it around my dad, but after I started talking more about it in general and he had questions about how it actually works and what produces the vapor I got the idea that he was actually okay with me doing it. So now I vape around him regularly and honestly, I think he is just glad I'm not smoking as much.
So I echo everyone's posts that maybe you should just talk to him about it, give him some articles to address any concerns he has, or if you can't see eye to eye just give him the respect of not vaping in front of him. It might suck, but honestly you are living in his home. I'm an adult in my 20's but I still believe in respecting my dad and his wishes, especially if that means less confrontation lol