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Math Help - resultant between two vectors

  1. #1
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    resultant between two vectors

    given vectors \vec{a} and \vec{b} such that the angle between the vectors is 60^o, |\vec{a}|=3 and |\vec{b}|=2 determine |\vec{a}+\vec{b}|
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  2. #2
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    Quote Originally Posted by william View Post
    given vectors \vec{a} and \vec{b} such that the angle between the vectors is 60^o, |\vec{a}|=3 and |\vec{b}|=2 determine |\vec{a}+\vec{b}|


    Writing simply a instead of \vec{a} , and assuming these are real vectors, we get

    |a+b|^2=(a+b)\cdot(a+b)=a\cdot a+2a\cdot b+b\cdot b=9+4+2|a||b|\cos 60=13+6=19

    Tonio
    Last edited by tonio; February 4th 2010 at 06:46 PM. Reason: Misread the question
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