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**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

... 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

**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

For

**rotation**by 270°, (x, y) becomes (y, -x). Considering the x- and y-...4 Answers · Science & Mathematics · 27/07/2017

...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

...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

... -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

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

... + 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

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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