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Homework Help: Simple proof ?

  1. Apr 24, 2010 #1
    1. The problem statement, all variables and given/known data
    prove A0=0
    where 0 is the zero vector
    and A is a scalar

    3. The attempt at a solution

    so i know we need to get it in the form
    A0 + A0 = A0+ 0
    but im not sure how to get there
    can we say A0 + 0 = 0
    any input will be appreciated.
     
  2. jcsd
  3. Apr 24, 2010 #2

    tiny-tim

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    Hi cragar! :smile:

    You can't say A0 + 0 = 0 because (although it's true), it's not one of the basic laws of vector spaces.

    Hint: try the definition of vector addition, 0 + X = X :wink:
     
  4. Apr 24, 2010 #3
    so then A(0+0)=0
     
    Last edited: Apr 24, 2010
  5. Apr 24, 2010 #4

    tiny-tim

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    uhh? :redface:

    get on with it! :smile:
     
  6. Apr 24, 2010 #5
    so then A(0+0)=A0
    A0+A0=A0
    then we subtract A0 from both sides
    then we get A0=A0-A0

    thanks for your help
     
    Last edited: Apr 24, 2010
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