We have two vectors A=(6.0, 9.6) and B=(-8.6, 4.4). What angle does the sum of these vectors make with the x-axis in degrees?

Principles of Physics: A Calculus-Based Text
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ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter10: Rotational Motion
Section: Chapter Questions
Problem 24P
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We have two vectors A=(6.0, 9.6) and B=(-8.6, 4.4). What angle does the sum of these vectors make with the x-axis in degrees?

Expert Solution
Step 1

A = (6, 9.6), B = (- 8.6, 4.4) 

Write the vectors in the component form

A = 6 i^ + 9.6 j^B =  - 8.6 i^ + 4.4 j^

The resultant is given by 

R = A + BR = (6 - 8.6) i^ +(9.6 + 4.4) j^ R = - 2.6 i^ + 14 j^

 

 

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