Lines and planes in three-dimensional space

What this note covers

1. Foundations: position vectors and direction in R3
2. Equations of a line in R3: vector, parametric, and Cartesian forms
3. Equations of a plane in R3: normal, Cartesian, and parametric forms
4. Intersection of a line with a plane
5. Intersection of two or three planes
6. Angles and distances involving lines and planes
7. Interpreting geometric solutions and classifying line relationships

7 sections · 12 key terms & formulas · 6 common mistakes