Homework 5, due Thurs Oct 2, 2014, 1159pm

Hand in your solution on RPILMS. Each team should submit their solution under only 1 student's name. The other student's submission should just name the lead student. (This makes it easier for us to avoid grading it twice.) For programming exercises, hand in code and screen dumps. We won't run your code, but will use the screendumps to judge how it worked.

(2) What is the quaternion for the rotation by 90 degrees about the axis (5,3,4), followed by the rotation by 180 degrees about the axis (0,0,1)?
(2) What is that rotation's axis and angle?
(4) (Read 3D Interpolation on your own to do this.) You wish to interpolate a smooth, constant speed, path on a sphere from {$\left(\frac{1}{\sqrt{2}},\frac{1}{\sqrt{2}},0\right) $} to {$ \left( \frac{1}{\sqrt{3}}, \frac{1}{\sqrt{3}}, \frac{1}{\sqrt{3}} \right) $}. Give the 1/3 and 2/3 points of that path.
(10) Do question 3.2 on page 132 of the textbook.

Total: 18.