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

  1. Aug 29, 2011 #1
    1. The problem statement, all variables and given/known data

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

    2. Relevant equations



    3. 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?
     
  2. jcsd
  3. Aug 29, 2011 #2

    Pengwuino

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    Gold Member

    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.
     
  4. Aug 29, 2011 #3
    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?
     
  5. Aug 29, 2011 #4

    Pengwuino

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    Gold Member

    Yes, that is the only value that could possibly be attained by adding vectors with those magnitudes.
     
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