Some commentators (such as the Institute for Creation Research) have suggested that Leviathan (otherwise a Hapax Legomenon) in Job 41 is a dinosaur. Not all agree, but it is at least "out there" as a theory.

Prior to the 1820s, dinosaurs were unknown to (modern) man[1], so it is not surprising the are not mentioned in the Bible. (Indeed, the term would have had no meaning).

If the case is that Leviathan is a dinsoaur, then we read:

1 Can you pull in the leviathan with a fishhook or tie down his tongue with a rope? 2 Can you put a cord through his nose or pierce his jaw with a hook? 3 Will he keep begging you for mercy? Will he speak to you with gentle words? 4 Will he make an agreement with you for you to take him as your slave for life? 5 Can you make a pet of him like a bird or put him on a leash for your girls? 6 Will traders barter for him? Will they divide him up among the merchants? 7 Can you fill his hide with harpoons or his head with fishing spears? 8 If you lay a hand on him, you will remember the struggle and never do it again! 9 Any hope of subduing him is false; the mere sight of him is overpowering. 10 No-one is fierce enough to rouse him. Who then is able to stand against me?

Basically, they are big and strong, but God is bigger.

[1]: To be clear, most scientists believe that man was just a mouse during the age of the dinosaur, and even old earth Creationists suspect that the dinosaurs had died out in the "two days" before man. During the 1800s, I believe it was Paley who suggested that the dinosaurs must have died out shortly after the flood. A few die-hard Young Earthers (like the ICR) still advocate that, but for the most part "The Land of the Lost" is just that.