- Math Lessons
- >
- Analytic Geometry
- >
- Three Dimensions
- >
- Lines in Three Dimensions

Analytic geometry of three dimensions: (lesson 1 of 2)

Symmetric form for describing the straight line:

1. Line through parallel to the vector (a, b, c):

2. Line through point and :

This line is parallel to the vector

Parametric Form

In three-dimensional space, the line passing through the point and parallel to (a, b, c) has parametric equations

In three-dimensional space, the line passing through the point and

The line through in direction and the line through in direction intersect iff:

Three lines with directions are parallel to a common plane if and only if

Distance between the point and the line through in direction (a, b, c):

Distance between the line through in direction and the line through in direction :