Value of an angle will their vector sum have the same magnitude

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SUMMARY

The discussion focuses on determining the angle between two vectors of equal magnitude that results in their vector sum having the same magnitude as the individual vectors. The key method suggested for solving this problem is the "parallelogram method" of vector addition, which involves drawing vectors at various angles and observing the resultant vector. The graphical approach is emphasized as more intuitive than a purely mathematical one. The conversation also notes that further inquiries should be directed to the Homework Help forum.

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i'm stumped totally on this physics question. help please?

vectors a and b are drawn from the same origin with an angle seperating the two vectors. if a and b have the same magnitude, what value of an angle will their vector sum have the same magnitude as vectors a or b?

i've tried over and over to figure this out..but, I am stumped, maybe I am approaching it the wrong way or something.
 
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It's easier to figure this out graphically (rather than mathematically). Have you done "the parallelogram method" of vector addition? If you have, then scribble around a bit on some paper:

Draw two equally long vectors at various angles from each other (acute and obtuse), then draw in the resultants. When you get close to having a resultant with the same length as the two componants, you ought to be able to recognize a certain kind of triangle in your drawing.

PS. Further questions like this should be posted in the Homework Help forum, which is way down near the bottom of the main menu.
 
oh sorry, didnt see the homework part. thanks thanks
 

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