^^^ that's not really F. it should look like this...
l1-----------------------------l
l---1--------------------------l
l-------2----------------------l
l-----------3------------------l
l0-----------------------------l
l0-----------------------------l
or you can barre it and have your index on the first fret of the low E and A strings as well as high e.
oh, so online guitar sites anyone might like are:
http://www.wholenote.com (great site, lots of exercises)
http://www.guitartabs.cc (lots of tabs)
http://www.mxtabs.net (tabs, chat forum, and lessons)