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Vector Algebra (line perpendicular to plane)

  1. Dec 8, 2009 #1
    1. The problem statement, all variables and given/known data

    Find the parametric equations for the line which passes through the point (3,5,7)
    and parallel to the vector <2,6,8>. Is the line perpendicular to the plane 5x + 6y +7z = 10?


    2. Relevant equations

    line equation, r = Ro + tV

    3. The attempt at a solution

    line equation, r = Ro + tV
    -------------> = <3,5,7> + t<2,6,8>

    hence, x = 3 + 2t ; y = 5 + 6t ; z = 7 + 8t

    the problem is.. how am i going to prove that the line perpendicular
    to the plane 5x + 6y +7z = 10 or not..?
     
  2. jcsd
  3. Dec 8, 2009 #2

    lanedance

    User Avatar
    Homework Helper

    start by finding a vector perpindicular to the plane & one parallel to the line...
     
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