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Math Help - Find the point of intersection, P, of the lines ...

  1. #1
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    Find the point of intersection, P, of the lines ...

    Find the point of intersection, P, of the lines

    L1 = (x-6)/3 = (y - 6)/1 = (z - 2)/4
    L2 = (x - 8)/1 = (y - 5)/2 = (z - 4)/2

    Thanks
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  2. #2
    MHF Contributor Also sprach Zarathustra's Avatar
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    oooops...
    Last edited by Also sprach Zarathustra; July 19th 2010 at 12:22 PM.
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  3. #3
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    Yeah I got that far, then it said something about multiplying equations 2 * 3 and then adding to equation 1 or something like that and that's where i got confused. I couldn't get it into p(x, y, z) form.
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  4. #4
    MHF Contributor Also sprach Zarathustra's Avatar
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    and... ooops...
    Last edited by Also sprach Zarathustra; July 19th 2010 at 12:23 PM.
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    Write each in parametric form.
    L_1 :\left\{ \begin{gathered}<br />
  x = 6 + 3t \hfill \\<br />
  y = 6 + t \hfill \\<br />
  z = 2 + 4t \hfill \\ <br />
\end{gathered}  \right. L_2 :\left\{ \begin{gathered}<br />
  x = 8 + s \hfill \\<br />
  y = 5 + 2s \hfill \\<br />
  z = 4 + 2s \hfill \\ <br />
\end{gathered}  \right.

    Now solve for the parameters.
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  6. #6
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    The equations were right just the algebra was wrong. I just recalculated them and got it correct. Thanks!
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