A triangle is defined by the coordinates P1(3, 0, 0), P2(0, 5, 0) and P3(0, 0, 7). The triangle is rotated 30-degree counter-clockwise about the x-axis. Solve the transformation operation to determine the new position of the triangle (a)
A triangle is defined by the coordinates P1(3, 0, 0), P2(0, 5, 0) and P3(0, 0, 7). The triangle is rotated 30-degree counter-clockwise about the x-axis. Solve the transformation operation to determine the new position of the triangle (a)
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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Transcribed Image Text:A triangle is defined by the coordinates P1(3, 0, 0), P2(0, 5, 0) and P3(0, 0, 7). The
triangle is rotated 30-degree counter-clockwise about the x-axis. Solve the
transformation operation to determine the new position of the triangle
(a)
(b)
The rotated triangle in (a) is next rotated 45-degree counter-clockwise about the
z-axis. Solve the transformation operation to determine the new position of the
triangle.
(c)
Instead of the rotations in (a) and (b), the original triangle in (a) at coordinate
P:(3, 0, 0), P2(0, 5, 0) and P3(0, 0, 7) is now rotated 30-degree clockwise about
the x-axis.
Next, the rotated triangle is then rotated 45-degree clockwise about the z-axis.
Solve the transformation operation to determine the final position of the triangle.
(d)
Explain how you can rotate the rotated triangle in part (b) to its original position
at P:(3, 0, 0), P2(0, 5, 0) and P3(0, 0, 7).
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