I'm trying to understand quaternions and how to convert them. So I was tryting but couldn't get the right answer. So my question is below. What is the quaternion of a vector (1,0,0) Rotated 45 degrees around (0,0,1)
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If you tried, and couldn't get the right answer, what did you get, and what do you think the right answer should be? – Arthur Aug 02 '16 at 22:02
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The rotation $45^\circ=\pi/4\ rad$ around $(0,0,1)$ is represented in polar form by $e^{\pi k/8}$ (because of the way quaternions work from both sides of a vector, you use half of the angle in radians). Now just use Euler's formula if you want to put it in $q=a_0+a_1i+a_2j+a_3k$ form. – Aug 02 '16 at 22:06
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Thx I got it now. – terry Aug 02 '16 at 22:13