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Finding components vector

  1. Oct 29, 2014 #1
    1. The problem statement, all variables and given/known data
    You are given vectors A⃗ = 4.8 i^− 6.4 j^ and B⃗ = - 3.6 i^+ 6.8 j^. A third vector C⃗ lies in the xy-plane. Vector C⃗ is perpendicular to vector A⃗ and the scalar product of C⃗ with B⃗ is 19.0.

    Find the x -component of vector C⃗ .

    Find the y-component of vector C⃗ .

    2. Relevant equations
    Dot Product
    Cross Product

    3. The attempt at a solution

    No idea where to start on this one really. I've plotted the A and B vectors on a graph and thats about as far as I;ve got.

    Cheers everyone.
     
  2. jcsd
  3. Oct 29, 2014 #2

    RUber

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    Homework Helper

    For A and C to be perpendicular, their dot product must equal zero. Try setting ##C=x\hat i + y \hat j ## and satisfy the relations.
    Otherwise, if you want to think in terms of lines, the perpendicular to a line with slope m has slope -1/m.
     
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