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remark on specifying a rotation |
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I would guess, then, that a quaternion of rotation is [[equivalent]] to the [[cross product]] of the two unit vectors '''A''' and '''B''', which is also a vector only in three-space, and whose [[magnitude]] also varies as the sin of the angle.
I'm not sure what you mean by "The specified rotation is that which maps '''A''' onto '''B'''." In 3 dimensions, there can be many rotations that map '''A''' onto '''B''', not just the ones with the cross product as axis. [[User:Jwwalker|Jwwalker]]
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