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A passive rotation by an angle of a vector v in the xy-plane, measured counterclockwise in the xy-plane is given by Pv, where COs O sin 0 P = sin 0 Cos O Find the image of (2,-2) after a counterclockwise (passive) rotation of the axes about the origin by an angle 0 = 4

A passive rotation by an angle of a vector v in the xy-plane, measured counterclockwise in the xy-plane is given by Pv, where COs O sin 0 P = sin 0 Cos O Find the image of (2,-2) after a counterclockwise (passive) rotation of the axes about the origin by an angle 0 = 4

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A passive rotation by an angle of a vector v in the xy-plane, measured counterclockwise in the xy-plane is given by Pv, where Cos O sin 0 P = sin 0 cos 0 Find the image of (2,-2) after a counterclockwise (passive) rotation of the axes about the origin by an angle 37T 4
Transcribed Image Text:A passive rotation by an angle of a vector v in the xy-plane, measured counterclockwise in the xy-plane is given by Pv, where Cos O sin 0 P = sin 0 cos 0 Find the image of (2,-2) after a counterclockwise (passive) rotation of the axes about the origin by an angle 37T 4
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