Basics of Coordinate Metrology
Unit 5:  Geometric Combinations - Distance (Part 1)

Step 2 of 8
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Distance Point Line Plane Sphere Cylinder
Point
The distance vector is equal to the difference of the local vectors of the two points

The distance vector is perpendicular to the line.

The distance vector is perpendicular to the plane.

The distance is the distance of the sphere center from the point.

The distance is the distance of the cylinder axis from the point. The distance vector is perpendicular to the cylinder axis.
Line
The distance vector is perpendicular to the line.

The distance vector is perpendicular to both lines in space.

The distance vector is perpendicular to both the line and the plane.

The distance is the distance of the sphere center from the line. The distance vector is perpendicular to the line.

The distance is the distance of the cylinder axis from the line. The distance vector is perpendicular to both the line and the cylinder axis.
Plane
The distance vector is perpendicular to the plane.

The distance vector is perpendicular to both the line and the plane.

The distance vector is perpendicular to both planes. For planes to have a distance > 0, they must be parallel.

The distance is the distance of the sphere center from the plane. The distance vector is perpendicular to the plane.

The distance is the distance of the cylinder axis from the plane. The distance vector is perpendicular to both the plane and the cylinder axis.