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Math Help - Equation of lines / planes (vectors)

  1. #1
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    Equation of lines / planes (vectors)

    Hi,

    I'm having trouble figuring out this problem -- i"m not sure if my approach is right (there is no answer key).

    Find the equation of the line normal to the plane 3x - 2y + z = 4 and containing the point (1, 2, -1)
    Do I just use the normal vector from the plane <3, -2, 1>? Not really sure how to start this problem...
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  2. #2
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    Quote Originally Posted by Somersault View Post
    Hi,

    I'm having trouble figuring out this problem -- i"m not sure if my approach is right (there is no answer key).



    Do I just use the normal vector from the plane <3, -2, 1>? Not really sure how to start this problem...
    You are right: The direction vector of the line must be the same as the normal vector of the plane.

    If \vec r is the stationary vector of any point of the line the equation of the line becomes:

    l: \vec r= \langle 1, 2, -1 \rangle + t \cdot \langle 3, -2, 1 \rangle~,~t \in \mathbb{R}
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  3. #3
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    Ah, yes. Thanks. I figured it out shortly after posting my question...
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