Calculating a rectangle between 2 points and detecting if a position is within

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I'm attempting to basically create a road within a game, and am struggling with how I can detect if my existing geometry is in fact on this road.

Basically I have a list of x,y,z coordinates and if I draw a straight line between all of them that's the path I want to follow (assume an arbitrary width).

The problem is I have a list of normals/vertices/indices and don't know how to "detect" what is within the bounds of my road and what isn't.

Anyone have any ideas on how I can basically right a function that says:

IsPointOnRoad(float[3] point)

Anyone have any ideas on how to do this? I'm WAY rusty on my math, sadly, and have been trying to think this through.

Thanks in advance!

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