FOR THE GUYS.....

If you love a girl and you don't really know her...what would you do to show that you ae interested...and would you give up quickly if you thopught she had no interest in you?

Depends on how you've met the girl.

Subtle hints and dropping your number, ringing up, and having a long deep conversation about pie fillings, ending with a "Wanna meet up for a drink?" is usually the best way to do it.

best not to be pushy, or like you're desperate, be calm and thoughtful, and just be yourself.

if i find myself interested to a complete stranger (not in love) just find something to talk about i met a chick last night who had a great additude but couldn't snowboard so i helped her get up (she fell alot) and taught her to ride... then i lost interest in her since she didn't seem like someone i'd want to hang out with so when she went to the lodge to eat i hung out with my friends and taught another one how to ride. if i was interested i would've gone and ate with her give her my number and etc.

basically if you find yourself "in love" just talk... simple communation

If IT Is "Love At First Sight" Or Something along those lines... then what i suggest.. is you try to talk to her.. so you know eachother more.. and if you do like her after all that.. Then tell her how you feel..
And As For Giving up...
I've been in love with a girl for 3 Years.. and She Knows it.. But she doesn't have much interest for going out with me.. But i'm still trying. ;)
So Hang in there mate.