Several unit vectors 7, 3, t, ü, ñ, and e in the xy-plane (not three-dimensional space) are shown in the figure. (Click on Using the geometric definition of the dot product, are the following dot graph to products positive, negative, or zero? You may assume that angles that look enlarge the same are the same. ? 1. ñ. ē ? 2. 3. 7 3. 7 3

Several unit vectors 7, 3, t, ü, ñ, and e in the xy-plane (not three-dimensional space) are shown in the figure. (Click on Using the geometric definition of the dot product, are the following dot graph to products positive, negative, or zero? You may assume that angles that look enlarge the same are the same. ? 1. ñ. ē ? 2. 3. 7 3. 7 3

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 33E

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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.
A vector in three dimensions can be written in either of two forms: in coordinate form as v=a1,a2,a3 and in terms of the _________ vectors i,j, and k as v= __________. The magnitude of the vector v is |v|= _________. So 4,2,4=i+j+k and 7j24k=,,.

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