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Math Help - How do I determine a vector of a line..? (more inside)

  1. #1
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    How do I determine a vector of a line..? (more inside)

    How do I determine a vector equation of a line..?

    with the same x-intercept as [x,y,z]=[3,3,0]+t[3,-5,-9] and the same z-intercept as [x,y,z]=[6,-2,-3]+t[3,-1,-2]

    Thanks a lot (: !
    Last edited by bebejay; October 18th 2009 at 03:27 PM.
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  2. #2
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    More information please

    Hello bebejay

    Welcome to Math Help Forum!
    Quote Originally Posted by bebejay View Post
    How do I determine a vector equation of a line..?

    with the same x-intercept as [x,y,z]=[3,3,0]+t[3,-5,-9] and the same z-intercept as [x,y,z]=[6,-2,-3]+t[3,-1,-2]

    Thanks a lot (: !
    The z-intercept on the second line is where it meets the z-axis; i.e. x = y = 0. This is where t = -2: the point whose position vector is \begin{pmatrix}0\\0\\1\end{pmatrix}.

    But I'm afraid I don't understand what you mean by the x-intercept for the first line. This line doesn't intersect the x-axis. (When t=0, z=0, y\ne0.)

    Are you sure you have the correct information here?

    Grandad
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