Your Road-Map to Vector Analysis

I was asked by a student, who appeared to be struggling with the subject,  how one can speed up her/his understanding on kinematics, especially, to design machines? I recommended him to review his basic mathematical skills, and I gave him the following chart. I am sharing it with you in here just in case you would have similar problems... it is based on a good old book: Algebra and Trigonometry by Fleming & Valberg.  Enjoy your trip.