Perpendicular Distance Between a Point and a Line

Rarely Tested

Perpendicular Distance Between a Point and a Line

For point $$p$$ and line passing through $$a$$ with direction vector $$\vec d$$:

$$d=\frac{|(\vec p-\vec a)\times\vec d|}{|\vec d|}$$

Usage

- Used as the standard shortest-distance formula from a point to a line.

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