Draw a third quadrant vector C. (remember that boldface characters represent vectorquantities). Show the standard angle 0 for this vector (= angle that C makes with the positive x-axis). Also show the angle that C makes with the negative y-axis: call the latter angle 8. Finally,show the smallest angles that C makes with the positive x-axis and the positive y-axis: call theseangles p1 and p2, repectively.a) Prove the following formulas for the components of C involving the standard angle (hint:start with the formulas for the components based on the angle & and then use (look up ifnecessary) co-function identities linking cosine and sine of 8 to sine and cosine of 0 since 8 =3π/2-8 (this will switch cosine and sine around and eliminate - signs as well))-C=CcoseC₁=Csineb) Prove the following formulas for the components of C:C=Ccosp1C=Ccosp2

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Answered: Draw a third quadrant vector C.…

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter1: Introduction And Vectors

Section: Chapter Questions

Problem 38P

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