I dunno, being hacked in the face with a great axe or stabbed in the face with a dagger; I'm pretty sure I'd die horribly from both ;p
Which brings me to the odd point - yes, I know real world things aren't allowed here, because of some unknown and unwritten designation that stated anything that could ever possibly exist in reality is like, totally uncool man, but a knight would probably fear that dagger MORE then the greataxe. One can go through the weak points in his armor, the other just CLANGs against him or his shield as it's owner is run through for using a stupid weapon on a battlefield.