CHAPTER 3 Vectors68Example 3.3 The Sum of Two VectorsFind the sum of two vectors A and B lying in the xy planeand given byA = (2.01 + 2.0j) mB = (2.0î – 4.0j)and%3Dות%3DSolution You may wish to draw the vectors to conceptualizethe situation. We calegorize this as a simple plug-in problem.Comparing this expression for A with the general expres-sion A = A, i + A,j, we see that ALikewise, B = 2.0 m and B, = - 4.0 m. We obtain the resul-tant vector R, using Equation 3.14:2.0 m and A, = 2.0 m.%3D%3DR = A + B = (2.0 + 2.0)î m + (2.0 – 4.0)j m= (4.0i – 2.0j) norR= 4.0 mR, = - 2.0 m%3D

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Find the sum of two vectors A and B lying in the xy plane and given by A = (2.01 + 2.0j) m B = (2.0î – 4.0j) m and %3D

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

CHAPTER 3 Vectors
68
Example 3.3 The Sum of Two Vectors
Find the sum of two vectors A and B lying in the xy plane
and given by
A = (2.01 + 2.0j) m
B = (2.0î – 4.0j)
and
%3D
ות
%3D
Solution You may wish to draw the vectors to conceptualize
the situation. We calegorize this as a simple plug-in problem.
Comparing this expression for A with the general expres-
sion A = A, i + A,j, we see that A
Likewise, B = 2.0 m and B, = - 4.0 m. We obtain the resul-
tant vector R, using Equation 3.14:
2.0 m and A, = 2.0 m.
%3D
%3D
R = A + B = (2.0 + 2.0)î m + (2.0 – 4.0)j m
= (4.0i – 2.0j) n
or
R= 4.0 m
R, = - 2.0 m
%3D

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