hi, and thanks for reading. hh, and this isn't homework, its just something i've been wondering about.(adsbygoogle = window.adsbygoogle || []).push({});

i've been flicking through a linear algebra book, i'm trying to learn it by myself, and i've come across this question which has completely stumped me:

show that every quaternion z, where |z|= 1, can be expressed in the form z = cos(alpha/2) + sin(alpha/2).n, where n is a vector of length 1

I don't know where to start, but more importantly, i don't understand the intuition behind it. Anybody care to explain? thanks

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# Show that every quaternion z, where |z|= 1, can be expressed

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