Quaternions or Vectors: Which is the Better Choice for Electromagnetism?

Gerenuk
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I read that people prefer vectors over quaternions (e.g. for electromagnetism), since one can do the same operations more transparent. Is it really a matter of preference? What's advantages of one or the other?
 
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Gerenuk said:
I read that people prefer vectors over quaternions (e.g. for electromagnetism), since one can do the same operations more transparent. Is it really a matter of preference? What's advantages of one or the other?

Actually, differential forms together with vectors appears to be the currently preferred "flavor".
 
Thread 'Derivation of equations of stress tensor transformation'
Hello ! I derived equations of stress tensor 2D transformation. Some details: I have plane ABCD in two cases (see top on the pic) and I know tensor components for case 1 only. Only plane ABCD rotate in two cases (top of the picture) but not coordinate system. Coordinate system rotates only on the bottom of picture. I want to obtain expression that connects tensor for case 1 and tensor for case 2. My attempt: Are these equations correct? Is there more easier expression for stress tensor...

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