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3. The geometrical representation of a vector v= is an arrow starting [:]- at the origin and ending at the point (a, b). cos e - sin e sin e cos e Multiplication of a vector v with the matrix A = yields a vector p=Av which is a counter clockwise rotation of v by an angle of 0. a) Find the vector p that is obtained if v= is rotated counter clockwise by 40°. b) Find the vector q that is obtained if v= is rotated clockwise by 40°.

3. The geometrical representation of a vector v= is an arrow starting [:]- at the origin and ending at the point (a, b). cos e - sin e sin e cos e Multiplication of a vector v with the matrix A = yields a vector p=Av which is a counter clockwise rotation of v by an angle of 0. a) Find the vector p that is obtained if v= is rotated counter clockwise by 40°. b) Find the vector q that is obtained if v= is rotated clockwise by 40°.

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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3. The geometrical representation of a vector v = is an arrow starting at the origin and ending at the point (a, b). cos 0 - sin e Multiplication of a vector v with the matrix A = sin ® cos 0 yields a vector p=Av which is a counter clockwise rotation of v by an angle of e. a) Find the vector p that is obtained if v = is rotated counter clockwise by 40°. b) Find the vector q that is obtained if v = is rotated clockwise by 40°.
Transcribed Image Text:3. The geometrical representation of a vector v = is an arrow starting at the origin and ending at the point (a, b). cos 0 - sin e Multiplication of a vector v with the matrix A = sin ® cos 0 yields a vector p=Av which is a counter clockwise rotation of v by an angle of e. a) Find the vector p that is obtained if v = is rotated counter clockwise by 40°. b) Find the vector q that is obtained if v = is rotated clockwise by 40°.
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