Distance Between a Point and a Plane in Vector Form

Rarely Tested

Distance Between a Point and a Plane in Vector Form

For plane:

$$\vec r\cdot\vec n=d$$

and point with position vector $$\vec a$$:

$$D=\frac{|\vec a\cdot\vec n-d|}{|\vec n|}$$

Usage

- Used to calculate point-plane distance directly using vectors.

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