My Dad is a mechanical engineer, and everyday he comes home more depressed than ever. I bet he is enjoying the money though.
Sorry to revive this thread, but after 1 year of engineering I became depressed. It really is like physics/maths with the fun cut out!
It's actually quite common for eng students (particularly electrical) to drop out and major in maths, physics or mathematical physics. This year I spoke to a physics PhD student and before physics he was doing electrical engineering and said it's all just debugging, etc.
Basically to work out whether you are a scientist or an engineer, you need to experience both. Nobody but you can tell you whether you are either an engineer or scientist.
But if you like studying concepts because you want to know why something is the way it is, you are probably a scientist. If you like studying concepts in science so you could use this to improve something you want to design, then your an engineer.
As a rule, engineers hate theory and love practical work, whereas scientists are the opposite.