I am in a quagmire, I dont know if a girl I like likes me in a boyfriend girlfreind way rater than a freind wa

Thers this very pretty girl in my dorm. At dinner I saw her sitting alone so I went up to her and asked If I could sit down and I sat next to her. We talked and had a very good conversation about alot of subjects. Then I eventualy told her I go rock climbing and she said she always wanted to go. I said I could take her. She said yea and we exchanged phone numbers. I dont know if this is because shes interseted in me or because she thinks of it as a friendly thing to do. Then we set up a good time and I didnt call her. We met up to go climbing. We again had a good conversation and then went climbing. I tried to teach her and try to use physical contact such as touching her hands and telling her good job with a pat or a quick loosen up shoulder rub. Then we left and walked to the dorms. On the way up I asked if she wanted to do somthing later. She said she had to study but that we should go again next week. Should I call and ask about dinner? how can I find out if she likes me? does she?