Re: Rotations in R^3
- From: Rupert Swarbrick <rswarbrick@xxxxxxxxx>
- Date: Mon, 05 May 2008 16:50:09 +0100
The Qurqirish Dragon <qurqirishd@xxxxxxx> writes:
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.
Ah of course. Sorry, doing a maths degree and "rigid isometry" has
somehow blended with "O(n)". I'd forgotten that you didn't have to fix
the origin!
Rupert
.
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