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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
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 vector (7, 4, 1) first π /3 around the x-axis, then π/ 4 around the y-axis, and finally π/2 around the z-axis.

Note: In the image it is clearer, do not skip any step, to be able to reach the result.

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.
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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