Consider the two vectors, A = 17.5x + 10.5y B = 3.1x - 3.5y a)What is the magnitude of the vector A - B?  b)What is the angle of the vector A - B, measured counterclockwise in degrees from the positive x-axis?  c)What is the magnitude of the vector 3A + B?  d)What is the angle of the vector 3A+B, measured counterclockwise in degrees from the positive x-axis?

Physics for Scientists and Engineers, Technology Update (No access codes included)
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Author:Raymond A. Serway, John W. Jewett
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Chapter3: Vectors
Section: Chapter Questions
Problem 3.41P: Express in unit-vector notation the following vectors, each of which has magnitude 17.0 cm. (a)...
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 Consider the two vectors, A = 17.5x + 10.5y B = 3.1x - 3.5y

a)What is the magnitude of the vector A - B? 

b)What is the angle of the vector A - B, measured counterclockwise in degrees from the positive x-axis? 

c)What is the magnitude of the vector 3A + B? 

d)What is the angle of the vector 3A+B, measured counterclockwise in degrees from the positive x-axis? 

Expert Solution
Step 1

Given, 

A= 17.5 x + 10.5 y

B= 3.1 x - 3.5 y

We need to calculate, 

a)What is the magnitude of the vector A - B =? 

 

b)What is the angle of the vector A - B =? 

 

c)What is the magnitude of the vector 3A + B= ? 

 

d)What is the angle of the vector 3A+B =? 

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