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How do I detect a tile map collision's direction?

I'm implementing collision detection with the map for my platformer. I have a method that generates a polygon on every tile and checks if the player hits it -- that's all fine. The problem is that ...
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How to translate a direction on the screen to 3D space?

EDIT: Alright, I've figured out what's wrong. I'm calculating the direction vector properly with the below code: //Get our ship position in screen space Vector3 shipPos = ...