Points lines and planes in three-dimensional coordinate system represented by vectors, Line in three-dimensional coordinate system, Equation of line in space, Vector equation of line, Parametric equation of line, Equation of line defined by direction vector and point, Symmetric equation of line, Line given by two points, Distance between two points, Orthogonal projection of line in space onto xy coordinate plane, Line in 3D space examples, Angle between lines, Condition for intersection of two lines in 3D space, Plane in three-dimensional coordinate system, Equations of plane in coordinate space, Equations of plane in 3D coordinate system, Hessian normal form of equation of plane, Intercept form of equation of plane, Plane in 3D coordinate system examples, Equation of plane through three points example, Distance between point and plane, Plane given in Hessian normal form, Comparison of general form and Hessian normal form of equations of plane, Distance of point to plane given in general form, angle between two planes, Dihedral angle, Line and plane in space, Line of intersection of two planes, Projection of line onto coordinate planes, How define two planes of which given line is their intersection, Intersection point of line and plane, Equation of sheaf or pencil of planes, Points lines and planes relations in 3D space examples, Angle between line and plane, Point line and plane orthogonal projections, Point line and plane distances, Condition for line and plane to be perpendicular, Through given point pass line perpendicular to given plane, Through given point lay plane perpendicular to given line, Projection of point onto plane in space, Projection of point onto line in space, Through given point in space pass line perpendicular to given line example, Projection of line onto plane example, Plane laid through given point such to be parallel with two skew lines example, Plane laid through given point such to be parallel with two parallel lines example, Distance between point and line in 3D space example, Distance between point and plane in space example, Distance between parallel lines in space example, Distance between skew lines in space example

Pre-calculus Contents J

Points, Lines and Planes in Three-dimensional Coordinate System Represented by Vectors

Line in a three-dimensional (3D) coordinate system

The vector equation of a line

The parametric equations of a line

A line in a 3D space examples

Angle between lines

Plane in a three-dimensional (3D) coordinate system

Line and Plane

The line of intersection of two planes

Point, Line and Plane - orthogonal projections, distances, perpendicularity of line and plane

Pre-calculus Contents