Let the rotation matrices be in each of the axes 1. R. 0 cos 0 - sin 0 0 sin0 cos 0 cos 0 0 sin 0 Ry 1 - sin 0 0 cos 0 cos e -sin 0 0 cos 0 R, sin 0 1 Determine the result of rotating the vector (7, 4, 1) first n /3 around the x-axis, then t/ 4 around the y-axis, and finally n/2 around the z-axis.
Let the rotation matrices be in each of the axes 1. R. 0 cos 0 - sin 0 0 sin0 cos 0 cos 0 0 sin 0 Ry 1 - sin 0 0 cos 0 cos e -sin 0 0 cos 0 R, sin 0 1 Determine the result of rotating the vector (7, 4, 1) first n /3 around the x-axis, then t/ 4 around the y-axis, and finally n/2 around the z-axis.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Let the rotation matrices be in each of the axes (Shown in the picture)
Determine the result of rotating the
Note: In the image it is clearer, do not skip any step, to be able to reach the result.

Transcribed Image Text:Determine el resultado de rotar el vector (7, 4, 1) primero t/3 alrededor del eje x, luego t/4
alrededor del eje y y finalmente a/2 alrededor del eje z.
Let the rotation matrices be in each of the axes
0.
0 cos 0
0 sin0
R
%3D
- sin 0
cos 0
cos 0
0 sin 0
Ry
1
- sin 0 0 cos 0
cos 0 -sin 0 0
cos 0
R. =
sin 0
%3D
1
Determine the result of rotating the vector (7, 4, 1) first n/3 around the x-axis, then n/ 4 around
the y-axis, and finally n/2 around the z-axis.
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