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Math Help - Help with finding distance from point to line

  1. #1
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    Help with finding distance from point to line

    I am having trouble here using the this A x B (cross product)/A to derive the distance from this point (4, 1, -2) to x= 1 +t, y = 3-2t, z = 4-3t.

    any help would be much appreciated.
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  2. #2
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    anyone? please?
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  3. #3
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    Quote Originally Posted by multivariablecalc View Post
    I am having trouble here using the this A x B (cross product)/A to derive the distance from this point (4, 1, -2) to x= 1 +t, y = 3-2t, z = 4-3t.
    The correct formula is \ell :P + tD\;\& \,d(\ell ,Q) = \frac{{\left\| {\overrightarrow {PQ}  \times D} \right\|}}{{\left\| D \right\|}}.

    In this problem Q(4,1,-2),~P(1,3,4)~\&~D=<1,-2,-3>
    Last edited by Plato; September 24th 2009 at 11:53 AM.
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  4. #4
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    Plato thank you so much for taking the time!
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