Vector A A→ has a magnitude of 23.0 mm and makes an angle of 30 degrees above the positive x axis. Vector B B→ has a magnitude of 13.0 mm and is oriented 60 degrees to the left of the y axis. Part A Find the magnitude of A−B |A→−B→|. Express your answer in meters. Part B Find the direction of A −B A→−B→. Express your answer in degrees. Part C Find the magnitude of 2A+B 2A→+B→. Express your answer in meters.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter1: Introduction And Vectors
Section1.8: Some Properties Of Vectors
Problem 1.4QQ
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Vector A A→ has a magnitude of 23.0 mm and makes an angle of 30 degrees above the positive x axis. Vector B B→ has a magnitude of 13.0 mm and is oriented 60 degrees to the left of the y axis.

Part A

Find the magnitude of A−B
|A→−B→|.
Express your answer in meters.
 
Part B
Find the direction of A −B
A→−B→.
Express your answer in degrees.
 
Part C
Find the magnitude of 2A+B
2A→+B→.
Express your answer in meters.
 
Part D
Find the direction of 2A+B
2A→+B→.
Express your answer in degrees.
 
Part E
Find the magnitude of −A+3B
−A→+3B→.
Express your answer in meters.
 
Part F
Find the direction of −A+3B
−A→+3B→.
Express your answer in degrees.
 
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