Prove that the rotation A = BCD. D = R₂ (-4), C = R₂ (−0), and B = R₂ (−4) cosp D = -sin 0 = sino 0 1 cos 0 C = 0 0 1 0 0 cos -sin 0 sin cos cosy B-siny 0 cos y cos- cos sin siny cos sin + coscos siny - sin cos - cos sin cosy - siny sin + cos cos&cosy sin sin -sin cosp siny 07 cosy 0 0 1 sin y sin cos y sin Cos

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Prove that the rotation A = BCD.
D = R₂ (-4), C = R₂ (−0), and B = R₂ (−4)
cosp
D = -sin
0
=
sino 0
1
cos 0 C = 0
0
1
0
0
cos
-sin
0
sin
cos
cosy
B-siny
0
cos y cos- cos sin siny
cos sin
+ coscos siny
- sin cos - cos sin cosy - siny sin + cos cos&cosy
sin sin
-sin cosp
siny 07
cosy 0
0 1
sin y sin
cos y sin
Cos
Transcribed Image Text:Prove that the rotation A = BCD. D = R₂ (-4), C = R₂ (−0), and B = R₂ (−4) cosp D = -sin 0 = sino 0 1 cos 0 C = 0 0 1 0 0 cos -sin 0 sin cos cosy B-siny 0 cos y cos- cos sin siny cos sin + coscos siny - sin cos - cos sin cosy - siny sin + cos cos&cosy sin sin -sin cosp siny 07 cosy 0 0 1 sin y sin cos y sin Cos
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