3) Given the following quaternions, calculate the equivalent DCM matrices, 3-2-1 Euler Angle Sequences, and resulting rotated vector V2 after rotating vector v₁ = [1, 0, 0] with each q. Hint: If you do it in MATLAB you don't have to repeat the whole process each time. a) q= [0.7071, 0, 0, 0.7071] b) q= [0, 0.7071, 0, 0.7071] c) q = [0, 0, 0.7071, 0.7071] d) q = [-0.7071, 0, 0, 0.7071]

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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3) Given the following quaternions, calculate the equivalent DCM matrices, 3-2-1 Euler Angle Sequences, and
resulting rotated vector V2 after rotating vector v₁ = [1, 0, 0] with each q.
Hint: If you do it in MATLAB you don't have to repeat the whole process each time.
a) q = [0.7071, 0, 0, 0.7071]
b) q= [0, 0.7071, 0, 0.7071]
c) q = [0, 0, 0.7071, 0.7071]
d) q = [-0.7071, 0, 0, 0.7071]
Transcribed Image Text:3) Given the following quaternions, calculate the equivalent DCM matrices, 3-2-1 Euler Angle Sequences, and resulting rotated vector V2 after rotating vector v₁ = [1, 0, 0] with each q. Hint: If you do it in MATLAB you don't have to repeat the whole process each time. a) q = [0.7071, 0, 0, 0.7071] b) q= [0, 0.7071, 0, 0.7071] c) q = [0, 0, 0.7071, 0.7071] d) q = [-0.7071, 0, 0, 0.7071]
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