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?
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter3: Vectors
Section: Chapter Questions
Problem 52PQ: A Three vectors all have the same magnitude. The symbol for the magnitude of each of these vectors...
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Question
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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