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Homework Help: If the magnitude of the sum of two vectors is less than the magnitude of either vecto

  1. Oct 2, 2012 #1
    1. The problem statement, all variables and given/known data
    If the magnitude of the sum of two vectors is less than the magnitude of either vector, then:
    -the vectors must be parallel and in the same direction
    -the scalar product of the vectors must be negative
    -none of these
    -the scalar product of the vectors must be positive
    -the vectors must be parallel and in opposite directions

    2. Relevant equations
    V1+V2=V3
    A(dot)B=ABcos(θ)

    3. The attempt at a solution
    I know the answer is that the scalar product of the vectors must be negative, but I don't get why.
     
  2. jcsd
  3. Oct 2, 2012 #2

    SammyS

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    Re: If the magnitude of the sum of two vectors is less than the magnitude of either v

    Hello jdief. Welcome to PF !

    What have you tried?
     
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