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The perpendicular distance is defined as the minimum Euclidean distance from the original point to any point on the target plane. Geometrically, this minimum is realized at the orthogonal foot of the perpendicular drop from the point to the plane.

Conditions: A target plane $\mathcal{P}$ has been chosen.; Projection is perpendicular to that plane.; The distance is measured using a vector norm.

The perpendicular distance is defined as the minimum Euclidean distance from the original point to any point on the target plane. Geometrically, this minimum is realized at the orthogonal foot of the perpendicular drop from the point to the plane.

Conditions: A target plane $\mathcal{P}$ has been chosen.; Projection is perpendicular to that plane.; The distance is measured using a vector norm.