Rotating Coordinate Systems The xy-coordinate system is rotated through the angle 30 to
Chapter 7, Problem 7.1.1.141(choose chapter or problem)
Rotating Coordinate Systems The xy-coordinate system is rotated through the angle 30° to obtain the \(x^{\prime} y^{\prime}) - coordinate system.
(a) If the coordinates of a point in the xy-coordinate system are \((1,1)\), what are the coordinates of the rotated point in the \(x^{\prime} y^{\prime}) -coordinate system?
(b) If the coordinates of a point in the \(x^{\prime} y^{\prime}) -coordinate system are \((1,1)\), what are the coordinates of the point in the \(x^{\prime} y^{\prime}) -coordinate system that was rotated to it?
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