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Consider vectors A→ = 1.0 ι^ + 3.0j^ and B→ = -4.0ι^ + 5.0 j^ Part A Calculate vectors A→ + B→. Express your answers as components. Enter the x and y components of the vector separated by a comma.   Calculate A→ - B→. Express your answer as components. Enter the x and y components of the vector separated by a comma.   Part C If the direction (but not the magnitude) of B→  is allowed to change by any amount you like, how large can |A → + B→| be?       Part D If the direction (but not the magnitude) of B→  is allowed to change by any amount you like, how small can |A→ + B→| be?

Consider vectors A→ = 1.0 ι^ + 3.0j^ and B→ = -4.0ι^ + 5.0 j^ Part A Calculate vectors A→ + B→. Express your answers as components. Enter the x and y components of the vector separated by a comma.   Calculate A→ - B→. Express your answer as components. Enter the x and y components of the vector separated by a comma.   Part C If the direction (but not the magnitude) of B→  is allowed to change by any amount you like, how large can |A → + B→| be?       Part D If the direction (but not the magnitude) of B→  is allowed to change by any amount you like, how small can |A→ + B→| be?

Principles of Physics: A Calculus-Based Text
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
Section: Chapter Questions
Problem 14OQ: A vector points from the origin into the second quadrant of the xy plane. What can you conclude...
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Consider vectors A→ = 1.0 ι^ + 3.0j^ and B→ = -4.0ι^ + 5.0 j^

Part A

Calculate vectors A→ + B→. Express your answers as components.
Enter the x and y components of the vector separated by a comma.
 
Calculate A→ - B→. Express your answer as components.
Enter the x and y components of the vector separated by a comma.
 

Part C

If the direction (but not the magnitude) of B→  is allowed to change by any amount you like, how large can
|A → + B→| be?    
 

Part D

If the direction (but not the magnitude) of B→  is allowed to change by any amount you like, how small can
|A→ + B→| be?
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