What Are the Maximum and Minimum Resultants of Vectors with Magnitudes 4 and 5?

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The maximum resultant of two vectors with magnitudes of 4 and 5 units is 9 units, achieved when the vectors are aligned in the same direction. The minimum resultant is 1 unit, which occurs when the vectors are oriented in opposite directions, effectively subtracting their magnitudes. The initial assumption that the minimum resultant is 4 units was incorrect. By adjusting the direction of the vectors, one can achieve a resultant closer to the starting point. Understanding vector addition and subtraction is key to determining these resultant values.
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Homework Statement



what is the maximum possible resultant of two vectors with magnitudes of 4 and 5 units? what is the minium possible resultant?


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The Attempt at a Solution



so i think that the max resultant would be 9 units and the minium resultant would be 4 units?
 
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max=9 is correct, because that is when they line up parallel and add. The minimum is not 4, though. How could you line up the two vectors to get a smaller result?
 
Max is correct. Min is wrong,
If you moved 5 units in one direction and 4 in another, how close could you get to the starting point?
 
so if you went up 5 then back down four that would leave you with one?
 
Correct
 
yay thanks :)
 

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