I am tutoring an undergraduate student for Calculus III for science and engineering and the topic list reminded me of several sketches that Nick Jackiw had created several years ago. Here's the topics for the first week:
Vectors and the Geometry of Space
Review dot product, cross product, lines and planes; while discussing parametric
equations of a line, include a treatment of the parametric equations
of a cycloid based on vector addition.

If anyone has sketches they would be willing to share that would help this student (who suffers from Asperger's syndrome) to better understand these topics, I would greatly appreciate them.

Thanks,

Professor Emeritus John Olive (Prof John)