Homework 5, Due by email to TA Oct 23
This has lots of little math questions based on the lecture.
- (1 pt) What is the vector from point (1,2,3) to (4,5,6)?
- (1) What is the parametric equation of the line from (1,2,3) to (4,5,6)?
- (1) What is the parametric equation of the line from (1,2,3) in the direction (4,5,6)?
- (1) What is the parametric equation of the plane with the points (1,0,0), (0,1,0), and (0,0,1)?
- (1) What is the normal to that plane?
- (1) Give 3 homogeneous points corresponding to the Cartesian point (2,1,2).
- (1) Give the Cartesian points corresponding to the homogeneous points (1,2,3,4) and (5,6,7,8).
- (1) Give 2 homogeneous matrices for the translation by (3,1,1).
- (1) Here's the Cartesian matrix for a nonuniform scale: {$$ \left(\begin{array}{ccc} 2&0&0\\0&3&0\\0&0&4\end{array}\right) $$} Write the homogeneous matrix for it.