Pre-calculus Contents J

 Points, Lines and Planes in Three-dimensional Coordinate System Represented by Vectors
Equations of a line in space

Equation of a line defined by direction vector and a point - Symmetric equation of a line
Line given by two points
Distance between two given points
Orthogonal projection of a line in space onto the xy coordinate plane
A line in a 3D space examples

The intercept form of the equation of a plane

The line of intersection of two planes

How determine two planes of which, a given line is their intersection line
Intersection point of a line and a plane
Sheaf or pencil of planes

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

Given a line and a point, through the point lay a plane perpendicular to the line
Projection of a point onto a plane

Projection of a line onto a plane example
Plane laid through a given point, such that be parallel with two skew lines example
Plane laid through a given point, such that be parallel with two parallel lines example

Distance between point and plane example
Distance between parallel lines example
Distance between two skew lines example
Pre-calculus Contents