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Perpendicular Distance Between a Point and a Plane
For point $$P(x_1,y_1,z_1)$$ and plane:
$$Ax+By+Cz+D=0$$
$$d=\frac{|Ax_1+By_1+Cz_1+D|}{\sqrt{A^2+B^2+C^2}}$$
Usage
- Used as the standard shortest-distance formula from a point to a plane.
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Perpendicular Distance Between a Point and a Plane
For point $$P(x_1,y_1,z_1)$$ and plane:
$$Ax+By+Cz+D=0$$
$$d=\frac{|Ax_1+By_1+Cz_1+D|}{\sqrt{A^2+B^2+C^2}}$$
Usage
- Used as the standard shortest-distance formula from a point to a plane.
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