Rotations and quaternions

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Amazing, absolutely phenomenal lecture!!

loreleidavinsky
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@43:52: He has used Rodrigues rotation formula for rotation of p about axis u by angle theta, the RHS of which we can derive from the quaternion multiplication.

RahulMadhavan
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thanks to you, i could do the big rotation for my class and have passed

adamkoltai
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@27:02: you can't add ij and subtract ji as both are not equal and don't add to 0.
i^2 = j^2 =>
i^2 - j^2 = 0 =>
i^2 +ij + ji - j^2 = 0 as ij = -ji as shown in previous step. This is not the same as what was given i^2 +ij - ji - j^2 = 0.
Is he assuming ij = ji towards a contradiction? But we have already proved that to be untrue. What am i missing?

RahulMadhavan