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Math Help - vector problem

  1. #1
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    vector problem

    Find an equation of the plane that contains the origin and is parallel to the line with parametric equations x=4+2t, y=3-t,z=-2+t and to the line with vector equation r(t)=(4,2,1)+t(1,-2,3).
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  2. #2
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    The normal vector for the plane is \left| {\begin{array}{rrr}   i & j & k  \\<br />
   2 & { - 1} & 1  \\<br />
   1 & { - 2} & 3  \\<br />
\end{array}} \right| =  - i - 5j - 3k.
    Now you write the equation of the plane with thise normal that contains the point (0,0,0).
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