It is given frame Fo and one point P with coordinate p° = [1,2,3] in Fo. we do the following rotations. %3D 1.) Rotate Fo with respect to the x-axis of Fo by angle 30° to get frame Fi: 2.) Rotate Fi with respect to the y-axis of F1 by angle 45° to get frame F2; 3.) Rotate F2 with respect to the z-axis of Fo by angle 60° to get frame F3: Find the coordinates of the point P in frame F3.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter2: Parallel Lines
Section2.6: Symmetry And Transformations
Problem 32E: A regular octagon is rotated about a centrally located point as shown. How many rotations are needed...
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It is given frame Fo and one point P with coordinate p° = [1,2,3] in Fo.
we do the following rotations.
%3D
1.) Rotate Fo with respect to the x-axis of Fo by angle 30° to get frame
F1:
2.) Rotate Fi with respect to the y-axis of F1 by angle 45° to get frame
F2;
3.) Rotate F2 with respect to the z-axis of Fo by angle 60° to get frame
F3:
Find the coordinates of the point P in frame F3.
Transcribed Image Text:It is given frame Fo and one point P with coordinate p° = [1,2,3] in Fo. we do the following rotations. %3D 1.) Rotate Fo with respect to the x-axis of Fo by angle 30° to get frame F1: 2.) Rotate Fi with respect to the y-axis of F1 by angle 45° to get frame F2; 3.) Rotate F2 with respect to the z-axis of Fo by angle 60° to get frame F3: Find the coordinates of the point P in frame F3.
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