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Math Help - The Vector Equation of a Plane

  1. #1
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    Unhappy The Vector Equation of a Plane

    Find the eqn of the plane in the form r.n=p, which contains the line, l, and the point with position vector, a, where

    l: r=-2i +3j-k +t(2i-j-3k) a=-3i+j+2k

    Any help on working out n?
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  2. #2
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    \begin{gathered}<br />
  n = \left\langle {2, - 1, - 3} \right\rangle  \times \left\langle {-3 + 2,1 - 3,2 + 1} \right\rangle  \hfill \\<br />
  \Pi :n \cdot \left\langle {x - 3,y - 1,z - 2} \right\rangle  = 0 \hfill \\ <br />
\end{gathered}
    Last edited by Plato; March 29th 2009 at 10:18 AM.
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  3. #3
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    I'm not sure i understand; the answer in the back of my book tells me it's r.(9i+3j+5k)=-14
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  4. #4
    Like a stone-audioslave ADARSH's Avatar
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    Quote Originally Posted by Erghhh View Post
    Find the eqn of the plane in the form r.n=p, which contains the line, l, and the point with position vector, a, where

    l: r=-2i +3j-k +t(2i-j-3k) a=-3i+j+2k

    Any help on working out n?
    Ok what should be the plane's direction?

    What should be its distance from origin?
    think in terms of line and that point

    EDIT: Distance = perpendicular distance of plane
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