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A problem on parametric vector form of the plane

  1. Oct 25, 2011 #1
    hi...

    plz help me this question.
    i am not understand this question.

    Find a vector equation of the plane for the following parametric equations:
    X= 1 +2t1 – 3t2
    y = 3 + 4t1 – 4t2
    z = 2 + 3t1 – 5t2

    i just want a solution, just let me know if possible.
     
  2. jcsd
  3. Oct 25, 2011 #2

    HallsofIvy

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    A "vector equation" for any surface, with parameters [itex]t_1[/itex] and [itex]t_2[/itex] is
    [tex]\vec{r}(t_1,t_2)= x(t_1, t_2)\vec{i}+ y(t_1, t_2)\vec{j}+ z(t_1, t_2)\vec{k}[/tex]


    1) This looks like a homework problem.

    2) Though it talks about "vector", this is not really a "Linear and Abstract Algebra" question.

    I am moving it to the "Calculus and Beyond" homework section.
     
    Last edited: Oct 25, 2011
  4. Oct 25, 2011 #3

    I like Serena

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    Homework Helper

    Welcome to PF, Syeda_Nadia! :smile:

    I believe your vector equation would be:
    [tex]\begin{pmatrix}x\\y\\z\end{pmatrix} = \begin{pmatrix}1\\3\\2\end{pmatrix} + t_1 \begin{pmatrix}2\\4\\3\end{pmatrix} + t_2\begin{pmatrix}-3\\-4\\-5\end{pmatrix}[/tex]
     
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