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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- Mar 29th 2009, 09:16 AMErghhhThe 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? - Mar 29th 2009, 09:28 AMPlato
$\displaystyle \begin{gathered}

n = \left\langle {2, - 1, - 3} \right\rangle \times \left\langle {-3 + 2,1 - 3,2 + 1} \right\rangle \hfill \\

\Pi :n \cdot \left\langle {x - 3,y - 1,z - 2} \right\rangle = 0 \hfill \\

\end{gathered} $ - Mar 29th 2009, 09:37 AMErghhh
I'm not sure i understand; the answer in the back of my book tells me it's r.(9i+3j+5k)=-14

- Mar 29th 2009, 10:37 AMADARSH