## Distances between Points, Lines and Planes.

### Distance between two Points:

It's calculated by the formula of Pythagoras.

**d =
√( (x**_{1} - x_{2})^{2} + (y_{1} - y_{2})^{2} + (z_{1} - z_{2})^{2})

### Distance between Point and Line:

Take the plane E in normal form with the point P as position vector and the direction of the line g as normal vector.
Determine the point of intersection S between this plane and the line g. The distance between S and P is the distance
between the point and the line.

### Distance between Point and Plane:

Intersect the plane by the perpendicular from the point to the plane and determine the distance between the point of intersection and
the given point.

### Distance between two Lines:

See Intersection of two Lines

### Distance between Plane and Line:

See Intersection of Plane and Line

### Distance between two Planes:

See Intersection of two Planes