Question

2 Euler Angles Consider two initially coincident reference frames, A and B. Frame B is then rotated about the Z axis by ?/4 radians. a) Sketch the coordinate frames A and B after the rotation. b) Write the rotation matrix RAB that will take a point from the B frame and represent it in the A frame. c) Write the rotation matrix RBA. d) What are the coordinates in frame A of a point with coordinates pB = [0, 0, 1]T given with respect to frame B? e) What are the coordinates in frame B of a point with coordinates pA = [0, 0, 1]T given with respect to frame A?

          2 Euler Angles
Consider two initially coincident reference frames, A and B. Frame B is then rotated about the Z axis by ?/4 radians.
a) Sketch the coordinate frames A and B after the rotation.
b) Write the rotation matrix RAB that will take a point from the B frame and represent it in the A frame.
c) Write the rotation matrix RBA.
d) What are the coordinates in frame A of a point with coordinates pB = [0, 0, 1]T given with respect to frame B?
e) What are the coordinates in frame B of a point with coordinates pA = [0, 0, 1]T given with respect to frame A?

2 Euler Angles
Consider two initially coincident reference frames, A and B. Frame B is then rotated about the Z axis by ?/4 radians.
a) Sketch the coordinate frames A and B after the rotation.
b) Write the rotation matrix RAB that will take a point from the B frame and represent it in the A frame.
c) Write the rotation matrix RBA.
d) What are the coordinates in frame A of a point with coordinates pB = [0, 0, 1]T given with respect to frame B?
e) What are the coordinates in frame B of a point with coordinates pA = [0, 0, 1]T given with respect to frame A?

Added by Matthew B.

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