3 Using (14), show that a rotation around the x-axis through angle 8, is given by 1 0 R₂(0)= 0 cos ex 0 sin 0, cos Write down R, (,). Show explicitly that R, (0) R, (0,) # R, (0,)R, (0₂). 0-sin

Advanced Engineering Mathematics
10th Edition
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Chapter2: Second-order Linear Odes
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3
Using (14), show that a rotation around the x-axis through angle 8, is given by
1
0
RAS-(:)
R₂(0) = 0 cos ex sin ex
0-sin
cos x
Write down R, (0,). Show explicitly that R, (0)R,(0,) # R, (0,)R, (0₂).
0
Transcribed Image Text:3 Using (14), show that a rotation around the x-axis through angle 8, is given by 1 0 RAS-(:) R₂(0) = 0 cos ex sin ex 0-sin cos x Write down R, (0,). Show explicitly that R, (0)R,(0,) # R, (0,)R, (0₂). 0
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