Need help with part (a). Thank you :) (a) For each of the fundamental unit quaternions i, j, k, state the angle and aris of the rotationthey represent.(b) If v = xi + yj+ zk is any pure quaternion, what can you say about each of iv/i, jv/j, kv/k?(c) Prove, by induction on n, that for all n, a product of n fundamental unit quaternions representsa rotation by either 0° (in which case it does nothing) or 180°.

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Answered: (a) For each of the fundamental unit…

Advanced Engineering Mathematics

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ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

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(a) For each of the fundamental unit quaternions i, j, k, state the angle and aris of the rotation they represent.