21-24 - Scalar and Vector Projections Two vectors u and v are given. (a) Find the component of u along v. (b) Find proj, u. (c) Resolve u into the vectors u, and uz, where u, is parallel to v and u, is perpendicular to v. 21. u = (3, 1), v = (6, –1) 22. u = (-8, 6), v = (20, 20) 23. u = i+ 2j, v = 4i – 9j 24. u = 21 + 4j, v = 10j

21-24 - Scalar and Vector Projections Two vectors u and v are given. (a) Find the component of u along v. (b) Find proj, u. (c) Resolve u into the vectors u, and uz, where u, is parallel to v and u, is perpendicular to v. 21. u = (3, 1), v = (6, –1) 22. u = (-8, 6), v = (20, 20) 23. u = i+ 2j, v = 4i – 9j 24. u = 21 + 4j, v = 10j

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter9: Vectors In Two And Three Dimensions

Section9.CR: Chapter Review

Problem 3E

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Similar questions

aWhat is a vector in the plane? How do we represent a vector in the coordinate plane? bFind the vector with initial point (2,3) and terminal point (4,10). cLet v=2,1. If the initial point v is placed at P(1,1), where is its terminal point? Sketch several representations of v. dHow is the magnitude of v=a1,a2 defined? Find the magnitude of w=3,4. eWhat are the vectors i and j? Express the vector v=5,9 in terms of i and j. fLet v=a1,a2 be a vector in the coordinate plane. What is meant by the direction of v? What are the coordinates of v in terms of its length and direction? Sketch a figure to illustrate your answer. gSuppose that v has length |v|=5 and direction =/6. Express v in terms of its coordinates.

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