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.
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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Question
![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3ef9e66d-4b8f-49ef-955b-9683128fda1f%2F39f00139-6348-4635-912b-d6e8226b0205%2Fg5y8sht_processed.png&w=3840&q=75)
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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