A vector of magnitude 20 is added to a vector of magnitude 25.

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Homework Help Overview

The problem involves adding two vectors with magnitudes of 20 and 25, and participants are exploring the possible magnitudes of the resultant vector based on varying directions of the original vectors.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the range of possible magnitudes for the resultant vector, considering maximum and minimum scenarios based on vector direction.

Discussion Status

Some participants have suggested that the resultant vector's magnitude could vary widely depending on the vectors' orientations, with specific values being discussed in relation to the provided choices.

Contextual Notes

Participants note the absence of directional information, which is crucial for determining the exact magnitude of the resultant vector. The choices provided include values that may or may not fit within the theoretical range established by the vectors' magnitudes.

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Homework Statement



A vector of magnitude 20 is added to a vector of magnitude 25. What could the magnitude of the sum be?

Homework Equations





The Attempt at a Solution



I am given a list of choices. But, it seems to me like it could be just about anything, because I have no idea what the direction of both vectors are. Can anyone give me a place to start?
 
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Well, the best I can say is that there does exist a minimum magnitude the resultant vector could be and a maximum. Unless all but 1 answer is outside of this range, you would need more information.
 
True. If I assume they are in the exact same direction, I can have 45, which is the max. If I assume they are directly opposing, I get 5 as a minimum.

My choices are 50, 47, 3, 0, and 12. So it would seem 12 is correct?
 
Yes, that is the only value that could possibly be attained by adding vectors with those magnitudes.
 

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