The rocket goes in the opposite direction to the exhaust product from the engine nozzle.
If that is directed vertically downward, the rocket will go vertically upward.
This can be modified by a gimbal mount on the engine to vary its alignment.
Fins and control surfaces which rely on airflow become useless once the craft clears the upper atmosphere, and this is typically achieved in a couple of minutes. After that, the fins are non-functional dead weight, and might as well not be there.
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