How can I let her know I like her?

Next time she looks at you in the eye, check how long she holds her stare (of course don't count aloud that would be strange. Lol). If the eye contact lasts at least 2 to 3 seconds without any blinking she is has an obvious liking for you. Second, usually peoples pupils enlarge when they like someone or their eyes get all shiny. So that is another sign.

You have asked her opened questions, but she doesn't seem to responsive -- is she perhaps shy like yourself? Try to keep the conversations going. And when it gets akward just laugh and say "that was akward. Ok, now its your turn. What's up". And if she gives you a really strange look then it is obvious she doesn't really like you. But if she laughs and trys to say something, then she does. Perhaps she really does like you and she just is all tongue-tied and doesn't want to say anything stupid. Unless this girl is trying to copy your homework with all her body advances, then, um, she does like you. I think that is the feeling I am getting here.

Also, if she really friendly and outgoing with a lot of other people and always seems to keep the convo going. But suddenly turns obviously snobbish, stuck-up, and kinda of makes you feel really dumb when you ask her questions then she is just flirting around for the heck of it. And in that case don't get her cause it is not worth it.

I wish you had provided a little more description in your questions.

Let us know how it goes!

Um she might be embarassed about you or she could just be shy like you. What I don't understand is how are you shy but confident you can't be that confident if your shy

It seems like she is a tough one to read. She is definately flirting, but that may just be her personality. She may have dead answers for one of three reasons, 1) She's nervous and she likes you too, 2) She's not interested, or 3) She's not the brightest crayon in the crayola box. But my bet is on the first since she shows signs of nervousness by breaking eye contact, plus any way you look at it, she is flirting. However, the only way you'll know is if you make your move. I would ask her out on a date, then exchange numbers to set up plans if she says yes. The only issue is that if she says no, you have to sit next to her for the rest of the semester which could be a little awkward. If you say you think she likes you, usually your gut won't steer you wrong. Just go for it, I say you got a good shot.