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  1. Rotation and translation are affine transformations. So if you have a set of points... will be the same as the corresponding two points in Y. So, in summary, rotations and translations are affine transformations and therefore: 1) Angles are...

    2 Answers · Science & Mathematics · 14/12/2008

  2. Rotation by half the angle. If R(theta/2) is the rotation matrix for angle theta/2, R(theta/2)*R(theta/2) is two rotations by theta/2, equivalent to a single rotation by theta which is R(theta).. .

    2 Answers · Science & Mathematics · 01/03/2013

  3. Rotation by counterclockwise is the same thing as pretending the positive y-axis... you see how that gets you the result? If not, try to prove that rotation is a linear transformation (there is a nice way to do this geometrically) and...

    2 Answers · Science & Mathematics · 21/04/2009

  4. Rotations can take place about any point keeping in account three things: (1... direction of rotation (orientation). (3) The distance from your point of rotation to any given point on the object to be rotated.

    2 Answers · Science & Mathematics · 07/06/2009

  5. Rotation would not help, since your equation is not satisfied for any point...so the domain of the given function is ∅. BTW, the angle of rotation of the coordinate system for eliminating (-24xy) term is α=atan[√(337...

    2 Answers · Science & Mathematics · 17/08/2009

  6. Rotations (as long as they are centred on the same point -- usually the origin...get very complicated. We normally go through reflections (a rotation is a double reflection through two lines crossing at the ...

    1 Answers · Science & Mathematics · 11/04/2012

  7. After the second rotation , it would be at (imagine just rotating (sqrt(2)/2, 0, 0) first) at... a bit more difficult to see, but follows but simply doing the rotation to the last two coordinates. Another thing to be careful of: the...

    1 Answers · Science & Mathematics · 30/08/2008

  8. rotation of a figure about a point is simply the act of just that, rotating the figure about that point. rotational symmetry is simply the idea that if you do that rotation then the figure will look the same for every so many degrees that you rotate

    1 Answers · Science & Mathematics · 18/01/2013

  9. ...the purpose of considering the effects of rotations and reflections, it might be worthwhile to think...the point (x, y) becomes the point (y, -x) after rotation . Reflection across a vertical line -- ...

    1 Answers · Science & Mathematics · 31/10/2016

  10. Complex numbers - Translations, Scales and Rotations z = x+iy = r cosθ + i r sinθ = r cisθ = r e(iθ) (a+ib)+z ...

    1 Answers · Science & Mathematics · 18/04/2013

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