The following videos accompany the text as it relates to the Develop and Discover activity above. Please use these videos as needed.
13.5.3: Example Line Equation from Two Points and Line Segments (06:04)
13.5.4: Example Intersecting Lines (13:41)
13.5.5: Distance between Point and Line (06:33)
13.5.6: Example Distance between Point and Line (05:44)
13.5.9: Example Finding Equation of a Plane Given Three Points (06:58)
13.5.10: Parallel and Orthogonal Planes with Example (05:58)
The first three videos are meant to help you recall some prerequisite knowledge on basic 2D curves:
13.6.0.1: Basic 2D Curves - Parabolas (08:38)
13.6.0.2: Basic 2D Curves - Ellipses (09:30)
13.6.0.3: Basic 2D Curves - Hyperbolas (14:34)
The remaining videos are focused on using our knowledge of 2D curves to understand 3D surfaces. We do this through the traces of a surface.
13.6.2: Example Parabolic Cylinder (09:02)
Use the practice problems at the end Section 13.5 and Section 13.6 in our text to practice what you've learned this week. The problems generally increase in difficulty in each subsection. The problems towards the end of the section get increasingly more involved, so I recommend working a few problems from each of the earlier subsections, checking your answers against the back of the book, and then venturing as far as you desire.
Take a look at the learning objectives for this week (found in the overview above). After completing everything above, assess how well you feel you meet each objective (say, on a scale from 1-5, 1 being the least comfortable and 5 being confident with having met the objective). The idea here is to make a record of how you feel about each objective so that you can easily go back to it before, say, an exam or at the end of the chapter and easily see what topics you should review. It can also be helpful if you are having trouble understanding a concepts later in the course.