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Math Help - Finding the equation of a line through a point and parallel vector

  1. #1
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    Finding the equation of a line through a point and parallel vector

    The question is: Find the equation of a line in R4 through the point (6,2,1,0) and parallel to vector v=<1,2,0,3>.

    here's what I have:

    (w,x,y,z)=(6,2,1,0)+t<1,2,0,3>
    =(6,2,1,0)+<t,2t,0,3t>

    are there any further steps to find the equation of the line or is that all I can do?
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  2. #2
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    Re: Finding the equation of a line through a point and parallel vector

    Quote Originally Posted by bakinbacon View Post
    The question is: Find the equation of a line in R4 through the point (6,2,1,0) and parallel to vector v=<1,2,0,3>.
    here's what I have:
    (w,x,y,z)=(6,2,1,0)+t<1,2,0,3>
    =(6,2,1,0)+<t,2t,0,3t>
    are there any further steps to find the equation of the line or is that all I can do?
    "are there any further steps to find the equation?"

    That is purely a matter of opinion.

    \ell (t) = \left\{ {\begin{array}{l}   {w(t) = 6 + t}  \\   {x(t) = 2 + 2t}  \\   {y(t) = 1}  \\   {z(t) = 3t}  \\ \end{array} } \right.
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  3. #3
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    Re: Finding the equation of a line through a point and parallel vector

    okay, I'll make sure to include that part. thank you
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