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Math Help - lines

  1. #1
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    lines

    Please help me with this task!



    Thanks in advance!
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  2. #2
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    Re: lines

    You can equate x's, y's and z's and get three equations and three variables. Note that the value of t of the two lines don't have to be the same at the intersection point.

    The vector (2, 1, 4) lies in the first line, and (a, -2, 1) lies in the second line. Once you know the intersection point and two vectors in the plane, you can use these methods to construct the plane equation.
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  3. #3
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    Re: lines

    Quote Originally Posted by Kiiefers View Post
    Please help me with this task!

    Thanks in advance!
    When working with lines always use different parameters.
    \left\{ {\begin{array}{l}   {x = 1 + 2t}  \\   {y = 7 + t}  \\   {z = 3 + 4t}  \\\end{array}} \right.\;\& \,\left\{ {\begin{array}{l}   {x = 6 + as}  \\   {y =  - 1 - 2s}  \\   {z =  - 2 + s}  \\\end{array}} \right.
    Now solve the second two.
    Then find the value of a.
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  4. #4
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    Re: lines

    will try!
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