I agree with the others. However, I think you can flip this thought into something more proactive....
Think of it this way...
Instead of doing good as revenge. Do good for yourself because you want BETTER for yourself. Make good choices because you don't want to be like THEM. Succeed in life because you want to live a healthy and normal life instead of a wasted, toxic life.
Do good for you....and forget about what the negative people in your life say about it. Negative people breed more negativity. You will never get a "Hey, good job" out of these people...it will always be more like a "Yeah, that's not bad, but you should have done this or that"...and they probably could have done it better!! You see what I'm saying? If you spend your energy trying to outdo a nay-sayer it will never work. They will still nay-say your good doings!
Instead, focus on being the best YOU can be for YOU. Do something YOU are interested in that will better YOUR life because it will make YOU feel good.