(c) Prove, by induction on n, that for all n, a product of n fundamental unit quaternions represents a rotation by either 0° (in which case it does nothing) or 180°.
(c) Prove, by induction on n, that for all n, a product of n fundamental unit quaternions represents a rotation by either 0° (in which case it does nothing) or 180°.
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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Induction proof please
Transcribed Image Text:(c) Prove, by induction on n, that for all n, a product of n fundamental unit quaternions represents
a rotation by either 0° (in which case it does nothing) or 180°.
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