Write transformation matrices in order to rotate the point (1,1) on the xy plane by 45 degree counterclockwise with the point (4,5) as the center of rotation. Calculate the coordinates of the rotated point by applying the transformation matrices obtained to the point (1,1).

Precision Machining Technology (MindTap Course List)
2nd Edition
ISBN:9781285444543
Author:Peter J. Hoffman, Eric S. Hopewell, Brian Janes
Publisher:Peter J. Hoffman, Eric S. Hopewell, Brian Janes
Chapter8: Computer Numerical Control
Section8.3: Cnc Turning: Programming
Problem 1RQ: Write the X- and Z-axis coordinates for the part show n. Use the diametral method in the X-axis.
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Write transformation matrices in order to rotate the point (1,1) on the xy plane by 45 degree counterclockwise with the point (4,5) as the center of rotation. Calculate the coordinates of the rotated point by applying the transformation matrices obtained to the point (1,1).

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