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Determining if something is on the right or left side of an object?

I have a character in a 3D world which is facing an arbitrary direction on a flat plane, the player can click on the left or right side of the character and based on which side is clicked on a ...
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How to determine the best approximate direction [duplicate]

I want to determine which sprite to use when one agent is "facing" another agent. My game is 2d, and uses 8-directional movement. Deciding which sprite to use for movement is easy enough since there ...