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)...
Related questions
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F12e3b0e2-9f73-4a63-b519-3663c8f345cc%2Fa4f1367e-8503-47fd-9f91-7152a3c4ce2f%2F521772e_processed.jpeg&w=3840&q=75)
Transcribed Image Text: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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