You are in my class, it appears. Unless our lecturer steals his questions from elsewhere.
Section 23.4 in his notes cover this question pretty much perfectly.
I got this question in my Group Theory class and I'm not really sure how to go about it because I never really understood quaternions in the first place!
Let v be the unit vector ( )
and let R be the rotation through angle anticlockwise around Ov
Calculate R(1,0,0) by conjugating a quaternion.
Thanks for any help you can give me!
P.S. That one in the first part of the vector should be on top, I couldn't get the MATH tags to wrok properly
The problem with that is that I have no idea where to start. I don't know how to calculate a unitary matrix from a quaternion (in actuality I have no idea how to form ANY matrix from a quaternion) and so without that basic knowledge can do no work. It's fairly elementary. I'm not asking for the answer to the question, just a piece of basic knowledge from which I can do some work.