All the exercises of the chapter, in order of appearance in the book: pencils of planes, vectors and distances, relative positions of lines, the sphere and its sections.
- Proper pencil through a line
- Improper pencil parallel to a plane
- Three planes and a common point
- Vector, magnitude and midpoint
- Plane through a point with given normal
- Plane through three points
- Point-line distance
- Relative position of two lines
- Sphere-plane position
- Sphere centre, radius and tangent plane
- Radius of the section