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.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.3: Vectors
Problem 31E
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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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