Re: Rotations in R^3



On May 5, 10:09 am, Rupert Swarbrick <rswarbr...@xxxxxxxxx> wrote:
Maury Barbato <mauriziobarb...@xxxxxxxx> writes:
Hello,
let R, S be two rotations with axes r, s. If r, s are in
the same plane, then R°S is a rotation or a translation.
But what happens when r and s are not in the same plane?

You've not said what the domain of the rotations is, but I presume you
mean R^3.

Can you think of two vectors in R^3 that aren't both in some plane
through the origin?

Rupert

I think the OP wants to know what the composition of two rotations (in
R^3) looks like, if the axes of rotation are skew. For example, a
rotation about x=y=1, followed by a rotation about y=z=2.
.



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