3D Geometry Cheat Sheet

Distance Formula
Section Formula
Equation of a Line: Passing through a given point and having given direction ratios or direction cosines
Equation of a Line passing through two points
Angle between two lines
Distance of a point from a line
Distance between parallel lines
Shortest distance between skew lines
Equation of a Plane at a given distance from origin with known direction cosines of normal
Equation of a Plane passing through a given point and known direction cosines of normal
Equation of a Plane making given intercepts on the axes
Equation of a Plane passing through a point and parallel to two lines
Equation of a Plane passing through two points and parallel to a line
Equation of a Plane passing through three non-collinear points
Angle between two planes
Angle between a line and a plane
Distance of a point from a plane
Distance between parallel planes