6. Lines and Planes - Contents

1. Lines - Parametric Equations

     1   2
   1. Derivation
   2. Reparametrizing a Line

2. Lines - Non-Parametric Equations

     1   2   3
   1. Derivation
   2. Special Formulas in \(\mathbb{R}^2\)
   3. Alternate Derivation of the Normal Equation in \(\mathbb{R}^2\)

3. Distance From a Point to a Line

     1   2
   1. Distance in \(\mathbb{R}^3\)
   2. Distance in \(\mathbb{R}^2\)

4. Parallel, Intersecting, and Skew Lines

     1   2
   1. Parallel and Intersecting Lines in \(\mathbb{R}^2\)
   2. Parallel, Intersecting and Skew Lines in \(\mathbb{R}^3\)

5. Planes - Parametric Equations

     1   2
   1. Derivation
      1. More Examples
   2. Reparametrizing a Plane

6. Planes - Non-Parametric Equations

     1   2   3
   1. Derivation
      1. More Examples
   2. Alternate Derivation of the Normal Equation in \(\mathbb{R}^3\)
   3. Perpendicular Lines and Planes

7. Distance From a Point to a Plane

     1
   1. Distance From a Point to a Plane

8. Parallel and Intersecting Planes

     1
   1. Parallel and Intersecting Planes

9. Parallel and Intersecting Lines and Planes

     1
   1. Parallel and Intersecting Lines and Planes

10. Review of Lines and Planes

      1
    1. Review of Lines and Planes

11. Exercises

      1
    1. Exercises