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Math Help - Point that is perpendicular to a line of a plane?

  1. #1
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    Point that is perpendicular to a line of a plane?

    I got this question below:

    4. Find the equation of the plane passing through A(2, 1, -1), that is perpendicular to each line:

    a) ((x-5)/1) = (y/3) = ((z-1)/-1)

    How do I solve this equation?

    I get close to the answer, but the D value is always off.

    Never mind, I was miscalculating something. I got the correct answer. It is x+3y-z-6=0
    Last edited by Barthayn; April 4th 2011 at 07:51 AM. Reason: Got the answer
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  2. #2
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    Quote Originally Posted by Barthayn View Post
    4. Find the equation of the plane passing through A(2, 1, -1), that is perpendicular to each line:
    a) ((x-5)/1) = (y/3) = ((z-1)/-1)
    Write the equation of a plane containing the point, A, with the direction vector of the line as the normal of the plane.
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  3. #3
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    Yeah, I got the answer. You had to let a point be (x, y, z) and then take the vector of that with point A and then take the dot product of the vector with the directional vector. I made a miscalculate when I did it 3 times over :|
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