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How can I write the insructions from this link http://blog.wolframalpha.com/2011/08/25/quaternion-properties-and-interactive-rotations-with-wolframalpha/ in Mathematica to obtain the same result?

Thanks!

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closed as too broad by Öskå, Jens, bobthechemist, RunnyKine, ciao Jun 28 '14 at 23:53

Please edit the question to limit it to a specific problem with enough detail to identify an adequate answer. Avoid asking multiple distinct questions at once. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.

  • $\begingroup$ You might have a look here: link $\endgroup$ – eldo Jun 28 '14 at 14:58
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    $\begingroup$ To comply with StackExchange policy, please make the question self-contained. Do not just post a link, explain clearly what you need. $\endgroup$ – Szabolcs Jun 28 '14 at 14:59
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    $\begingroup$ WolframAlpha["quaternion: 2-i+j+3k"] WolframAlpha["quaternions: 2-i+j+3k multiplied by 2-i+j+0k multiplied by 1-i+j+k"] $\endgroup$ – Bob Hanlon Jun 28 '14 at 15:00
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To do the calculation without recourse to Wolfram|Alpha you can do

Needs["Quaternions`"]
Quaternion[2, 1, 1, 3] ** Quaternion[2, 1, 1, 0] ** Quaternion[1, 1, 1, 1]
Quaternion[-12, 4, 14, 2]

Or you can do this

quaternions

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