Adding vectors given just the magnitude

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The discussion centers on a homework problem involving the addition of vectors given only their magnitudes. Participants express frustration over the ambiguity of the question, noting that some vectors appear equal and others require estimating angles for proper ranking. The use of the equation sqrt(a^2+b^2) was attempted for calculating the resultant, but it was deemed incorrect without angle information. There is a consensus that estimating angles with a protractor may be necessary to solve the problem accurately. Overall, the lack of clear instructions regarding angle estimation is highlighted as a significant issue.
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Homework Statement



The problem is attached

Homework Equations



sqrt(a^2+b^2)

The Attempt at a Solution


I used the equations above to calculate the resultant but apparently it wasn't right.
 

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It's a very poor question. Clearly some are equal, so there's no right way to fill those in. Others you cannot rank without making an estimate of the angle between the vectors from the diagram, so I suggest you do exactly that - get the protractor out. By eye, I'd say |B| > |A-B|, but it's a close call.
 
But this was on a test so do you think we were suppose to estimate the angle between the two?
 
mrknowknow said:
But this was on a test so do you think we were suppose to estimate the angle between the two?
If you were not given the angle then I see no alternative.
 
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