3. By the end of Week 3:
You would learn how to solve many problems involving lines/planes and manipulate with different coordinate systems.
These are just few examples:
Find the equation of a line that is the intersection of two
given planes.
Find the angle between two intersecting planes or the
distance between two parallel planes.
Find the distance between two parallel planes.

4. Parametric equations of a line in 2- or 3-space:
The vector equation of a line:

5. Two point vector form of a line:
Vector Form of a Line Segment: restricting the parameter

6. Exercises:

7. Exercises:

8. Exercises:

9. Exercises:

10. Equations of Planes in 3-space:
the point-normal form
the vector form
The normal vector and the point
uniquely determines the plane
the general form

14. The Angle of Intersection of Planes:
the cos of the acute angle of intersection
two planes

18. The Distance Between the point and the plane: