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As shown in lectures, multiplying a vector in two dimensions by R(0) = ( cos sin 0 - sin cos rotates the vector anticlockwise by angle 0. Without using a calculator, write down R(π/2), R(π/6) and R(T/3). Calculate the product R(π/2)R(π/6)R(π/3) and explain the result geometrically.

As shown in lectures, multiplying a vector in two dimensions by R(0) = ( cos sin 0 - sin cos rotates the vector anticlockwise by angle 0. Without using a calculator, write down R(π/2), R(π/6) and R(T/3). Calculate the product R(π/2)R(π/6)R(π/3) and explain the result geometrically.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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As shown in lectures, multiplying a vector in two dimensions by cos - sin 0 R(0) = ( ino) sin 0 cos rotates the vector anticlockwise by angle 0. Without using a calculator, write down R(T/2), R(π/6) and R(7/3). Calculate the product R(π/2)R(π/6)R(π/3) and explain the result geometrically.
Transcribed Image Text:As shown in lectures, multiplying a vector in two dimensions by cos - sin 0 R(0) = ( ino) sin 0 cos rotates the vector anticlockwise by angle 0. Without using a calculator, write down R(T/2), R(π/6) and R(7/3). Calculate the product R(π/2)R(π/6)R(π/3) and explain the result geometrically.
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