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System of linear and non-linear equations

  1. Feb 13, 2015 #1
    1. The problem statement, all variables and given/known data

    find the vector with magnitude 5 and perpendicular to 3i-2j+4k and 4i-3j-k

    3. The attempt at a solution
    lets name the vector component x for the i y for the j and z for the k
    i got three equation
    1- x^2+y^2+z^2=25 ( magnitude)
    3-4x-3y-z=0 (2, 3 from dot product by the 2 given vectors)
    i am supposed to solve those simultaneously, but i cant do it
  2. jcsd
  3. Feb 13, 2015 #2


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    Homework Helper

    You could if you tried. Use equation 3 to solve for z in terms of x and y. Substitute that into equation 2 and solve for y in terms of x. Put it all into equation 1 and solve for x. But it would be a lot easier to use the cross product, if you know what that is.
  4. Feb 13, 2015 #3
    I tried it and it worked, thanks
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