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Math Help - equation of the plane

  1. #1
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    equation of the plane

    Can anyone help with this practice exam quesiton?

    need to find the equation of the plane through (2, -3, 1) which is perpendicular to to the line with equation:

    x+1
    = y-1 = z+2
    2 2 -1

    as well as what is the shortest distance from this plane to the point (3,2,4)?

    THanks
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  2. #2
    MHF Contributor

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    Quote Originally Posted by jameyt View Post
    Can anyone help with this practice exam quesiton?

    need to find the equation of the plane through (2, -3, 1) which is perpendicular to to the line with equation:
    \frac{x+1}{2}= \frac{y-1}{2}= \frac{z+2}{-1}

    as well as what is the shortest distance from this plane to the point (3,2,4)?

    THanks
    Do you know how to find a normal vector to the plane, using the fact that it is perpendicular to the line? Hint: a vector in the direction of the line is 2\vec{i}+ 2\vec{j}- \vec{k}. That's all you need for both questions.
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