Recent content by innuendo999

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

    i've never been in a linear algebra class, I am just working through problems that are in a linear algebra pdf i downloaded :)
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    Graduate Show that every quaternion z, where |z|= 1, can be expressed

    yes, b, c and d are the coefficients of i, j and k it says that a is less than or equal to 1? so, n = i + j + k, then b, c and d = sin(alpha/2)? and a = cos(alpha/2)? i can see that much, but i can't see how to get one from the other
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    Graduate Show that every quaternion z, where |z|= 1, can be expressed

    Thanks for the reply. I've that much done. And I know that a^2 + b^2 + c^2 + d^2 = 1. But, that's where I'm lost.
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    Graduate Show that every quaternion z, where |z|= 1, can be expressed

    hi, and thanks for reading. hh, and this isn't homework, its just something I've been wondering about. 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...