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Math Help - vector question help pls

  1. #1
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    vector question help pls

    the line L has equation
    r=4i +2j -k + t(2i -j -2k). given that l lies in the plane with equation
    2x + by+ cz =1 where b and c are constants

    find the values of b and c

    and also

    the point P has psition vector 2j + 4k. show that the perpendicular distance frm P to L is square root of 5
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  2. #2
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    Quote Originally Posted by vserian View Post
    the line L has equation
    r=4i +2j -k + t(2i -j -2k). given that l lies in the plane with equation
    2x + by+ cz =1 where b and c are constants find the values of b and c
    The point (4,2,-1) must be in the plane 2x+by+cz=1.
    This dot prpduct \left\langle {2,b,c} \right\rangle  \cdot \left\langle {2, - 1, - 2} \right\rangle  = 0 must hold.
    That give two equations in two variables.
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