First exercise, due December 1
The exercise introduces vector product (part 1), shows that it is a commutator of skew-symmetric 3x3-matrices, and discusses relation of quaternions with rotations of three-dimensional space. Form the three standard ways to describe three-dimensional rotations (matrices, quaternions, Euler angles) the Euler angles are the most evident, and in some sense the worst, see HERE how a purely mathematical problem almost crashed Apollo 11 Moon mission.
In the exercise there was a typo in Jacobi formula, and the last exercise 2.7 was too ambitious.
ReplyDeleteThe corrected version replaced the first one on Nov. 20.