Anonymous
Anonymous asked in 教育及參考書教學 · 9 years ago

3 dimensions vector

find a equation of line that contain a pt. A(1,0,1),and is perpendicular to a plane 5x+6y=6

1 Answer

Rating
  • wkho28
    Lv 7
    9 years ago
    Favorite Answer

    Let P(x,y,z) be a point on the line.

    OP=xi+yj+zk

    OA=i+k

    The normal vector of the plane is : 5i+6j

    The equation of line passing through A and perpendicular to the plane is :

    OP=OA+t(5i+6j)

    xi+yj+zk=i+k+t(5i+6j)

    xi+yj+zk=(1+5t)i+6tj+k

    x=1+5t

    y=6t

    z=1

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