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Dot product vectors

  1. Nov 9, 2008 #1
    Hello, I have this problem that asks the following

    1. The problem statement, all variables and given/known data
    Find two vectors v1 and v2 whose sum is (-1,0) where v1 is parallel to (5,-5) while v2 is perpendicular to (5,-5).

    Could someone "walk" me thought the steps to find v1 and v2... I'm confident I can make the computations is the steps that are unknown to me... thanks in advance...
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Nov 9, 2008 #2
    If v1 is parallel to (5,-5) then v1 = (k5,-k5). k is an unknown that you will need to solve for.

    A similar setup applies to v2. v2 is perpendicular to (5,-5) so it is parallel to (5,5).
     
  4. Nov 9, 2008 #3

    gabbagabbahey

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    The first step would be to write the unknown vectors in terms of there unknown components: [itex]v_1=(x_1,y_1)[/itex] and [itex]v_2=(x_2,y_2)[/itex]...what is [itex]v_1+v_2[/itex] in terms of these components?...what does the fact that this vector sum must be (-1,0) tell you?
     
  5. Nov 9, 2008 #4
    ....okay, so maybe I can't follow directions as well as I thought... I hate to ask, but could you solve it for me? it's one of those things where I'm just stumped...
     
  6. Nov 9, 2008 #5

    gabbagabbahey

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    Why don't you show us what you've got? (even if you think it is wrong)
     
  7. Nov 9, 2008 #6

    HallsofIvy

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    Since you titled this "dot product" why don't you tell us what you think the dot product is and how it is related to "perpendicular".
     
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