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Math Help - 3D

  1. #1
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    3D

    \textup{The distance of the point (-2,3,-4) from the line} \frac{x+2}{3}=\frac{2y+3}{4}=\frac{3z+4}{5} \textup{measured parallel to the plane} 4x+12y-3z+1=0 is ?
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  2. #2
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    Quote Originally Posted by banku12 View Post
    \textup{The distance of the point P(-2,3,-4) from the line} \frac{x+2}{3}=\frac{2y+3}{4}=\frac{3z+4}{5} \textup{measured parallel to the plane} 4x+12y-3z+1=0 is ?
    1. Determine the equation of a plane E passing through P and parallel to the given plane.
    Spoiler:
    \bold{E:} 4x+12y-3z-40=0


    2.Calculate the coordinates of the point of intersection between the given line and the plane E.
    Spoiler:
    \left(4,\ \frac52 ,\ 2\right)


    3. Calculate the distance d=|\overline{PE}|
    Spoiler:
    d=\frac{17}2
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