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  1. 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

  2. ... wish to find its new coordinates after rotation about (-2,0). To deal with this we imagine that the origin... is a standard result very similar to the rotation of axes which you can easily confirm by simple trigonometry...

    1 Answers · Science & Mathematics · 02/03/2011

  3. 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

  4. For rotation by 270°, (x, y) becomes (y, -x). Considering the x- and y-...

    4 Answers · Science & Mathematics · 27/07/2017

  5. ...apply a translation to reduce it to central form. If a rotation θ anticlockwise is applied to a point (x,y) the.../9 = 1. This is equivalent to a further rotation of ±90. Choose +90 so the total rotation is...

    1 Answers · Science & Mathematics · 24/05/2011

  6. ...you are not given the location of the axis of rotation, I think that from a pure mathematical perspective it ...on the wheel to change the instantaenous center of rotation from the wheel axle to the point of contact between the rim of...

    2 Answers · Science & Mathematics · 19/03/2012

  7. ... -4/1. Suppose this is tan(phi). Then theta for the rotation must be -phi so that A will map to the x-axis after the rotation. Thus...

    2 Answers · Science & Mathematics · 04/04/2011

  8. the rotation matrix is [ cos (t) -sin(t) ] [ sin (t) cos(t ) ] where t is the angle of rotation. A1 = [ 1/2 -sqrt(3)/2 ] [ sqrt(3)/2 1/2 ] After the rotation point...

    2 Answers · Science & Mathematics · 10/03/2013

  9. ... + Bxy + Cy² + Dx + Ey + F = 0 © angle of rotation: α cot (2α) = (A-C)/B the transformation of variables...

    1 Answers · Science & Mathematics · 19/08/2007

  10. Notice that rotations always have exactly one fixed point, the center of rotation. So we just need...an attempt. Consider the translation vector and the center of the given rotation. They define a triangle with two vertices at the endpoints...

    1 Answers · Science & Mathematics · 19/12/2010

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