3D Geometry


This cheat sheet covers the high school math concept – 3D Geometry.

3D Geometry

In mathematics, analytic geometry (also called coordinate geometry) describes every point in three-dimensional space by an ordered triplet of real numbers known as the coordinates of the point.

Three coordinate axes (labeled X, Y and Z) are given, each perpendicular to the other two at the origin, the point at which they are concurrent. The coordinates of a point give the distance of that point from the three planes determined by the axes (two at a time).

This system is known as the Cartesian coordinate system. Other popular methods of describing the location of a point in three-dimensional space include cylindrical coordinates and spherical coordinates.

A good knowledge of vectors will help to solve problems related to 3D Geometry. Cheat sheets on Vector Algebra and Vector Geometry are also available on this website.

Also, being thorough with the basics of coordinate or analytical geometry will be helpful in understanding 3D Geometry as well. A cheat sheet on Coordinate Geometry Basics is also available on this website.

This one page PDF covers summarized theory and the most important formulas related to the concept. Keep it handy while you’re revising the concept, especially before an exam.

The topics included in this cheat sheet are:

  • Distance Formula
  • Section Formula
  • Equation of a Line under given conditions
  • Angle between two lines
  • Distance of a point from a line
  • Distance between parallel lines
  • Shortest distance between skew lines
  • Equation of a Plane under given conditions
  • Angle between two planes
  • Angle between a line and a plane
  • Distance of a point from a plane
  • Distance between parallel planes
  • Family of Planes

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