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Vector and scalar addition

  1. Feb 8, 2014 #1
    1. The problem statement, all variables and given/known data
    T/F: The addition of two scalars is equivalent to the addition of parallel vectors.
    Select one:
    a. False
    b. True

    2. Relevant equations

    3. The attempt at a solution
    i said true reason being the magnitude of vectors can be added if they are in the same direction by tail to tip method.
    is this correct?
  2. jcsd
  3. Feb 8, 2014 #2


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    I wouldn't say so. Although the magnitudes may be the same, vector addition still has direction, scalars ahve none. What if the parallel vectors are in opposite directions?
  4. Feb 8, 2014 #3
    I'd say it's true. I think by "equivalent" it means that the two are just analagous, so for scalars you just add the magnitudes, and for parallel vectors you also just add the magnitudes. I think by "parallel" it implies that they are both in the same direction, instead of being anti-parallel.
  5. Feb 8, 2014 #4


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    Maybe yes. But we have to guess what is meant by 'equivalent' and to a certain extent, 'parallel' vectors. I think the question needs to be tossed in the trash.
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