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**Rotation**: This is defined as movement of a point P(x,y) in a plane by an angle θ to another position...clockwise direction, then the equivalent angle in counter clockwise direction is given by (360-θ). In these**rotation**in counter clockwise direction, the new position of Q(x₁,y₁), is given by: (x₁...1 Answers · Science & Mathematics · 26/05/2011

We need to rotate θ degrees.

**Rotation**matrix: [X] = [ cosθ −sinθ ] [ x ] [Y] [ sinθ cosθ ] [ y ] [x...2 Answers · Science & Mathematics · 01/12/2016

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

...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

If A is the

**rotation**angle of the new co-ordinate system, we can express the current x, y co-ordinates...1 Answers · Science & Mathematics · 07/04/2014

...there are many different ways to represent

**rotations**mathematically. First, complex numbers can...for you to work out. Now, keep in mind that**rotations**can also be represented by matrices...2 Answers · Science & Mathematics · 12/07/2008

...and y' in the opposite direction to get x and y. Let t be the the angle of

**rotation**. So the substitution we will be using is x = x' cos t - y...2 Answers · Science & Mathematics · 01/06/2013

A

**rotation**by 90° about the origin. The general rule for a**rotation**by 90° about the origin...the object. lets say you have a point P(2,-3). The 90 degree**rotation**would place it at P'(3,2) under our general rule. You will see...1 Answers · Science & Mathematics · 14/05/2010

**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

Since you give only one angle for each

**rotation**, I assume you mean they are**rotations**... counterclockwise (θ=180º) (180º**rotation**is the same in either direction): (x,y) → (-x, -y) ...2 Answers · Science & Mathematics · 09/11/2012

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