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Math Help - Parametric equations

  1. #1
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    Parametric equations

    Determine the equation of line g which passes through point A(1,-1,3) and is parallel to the x-axis,

    Letting \vec u be the direction vector of line g,

    \vec u=(1,0,0) (Why??)
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  2. #2
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    Because the line g is parallel to the x-axis, the direction will be (1,0,0).
    The value of the direction is on the x-direction only, leaving the others zero
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  3. #3
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    Quote Originally Posted by chengbin View Post
    Determine the equation of line g which passes through point A(1,-1,3) and is parallel to the x-axis,

    Letting \vec u be the direction vector of line g,

    \vec u=(1,0,0) (Why??)
    Hello Thank you This the solution :
    The line is definite by :

    But :

    THE Parametric equations IS :
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  4. #4
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    Quote Originally Posted by songoku View Post
    Because the line g is parallel to the x-axis, the direction will be (1,0,0).
    The value of the direction is on the x-direction only, leaving the others zero
    Why is x=1?
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  5. #5
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    You can choose x = 2, 3, 1/3, etc..

    let x = 2
    \vec u = (2,0,0) = 2 (1,0,0)

    let x = 3
    \vec u = (3,0,0) = 3 (1,0,0)

    For the direction of a vector, usually the simplest form is used which is (1,0,0)
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