Here are my notes for today. They were a little messier than usual, so I upped the scan quality just a bit.
The main concept is the dot product. The other big idea is the formula for finding the angle between two vectors.
There is a quiz tomorrow.
Tuesday, February 3, 2009
We went over three example problems in class today. Each is an application of vectors and could be considered "physics problems" as much as "pre-cal problems."
Note you can leave answers in component form unless specifically asked for the magnitude and/or direction of the vector.
The only new concept I introduced in class today was the idea of the unit vector.
I did one physics-type example problem with velocity. The vector idea was that the velocity was given as magnitude and direction, and you need to break it down into horizontal and vertical components. Recall too that we have the old "projectile motion" model equation from our unit on quadratics.
We will go over several other physics-type problems in class tomorrow, including navigation and tension problems