1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Does the line lie in the plane?

  1. Mar 11, 2016 #1
    1. The problem statement, all variables and given/known data
    Does the line through the point P(1, 2, 3) with direction vector d = (1, 2, -3) lie in the plane 2x+y-z=3?

    2. Relevant equations


    3. The attempt at a solution
    From the 2x+y-z i can get the vector (2, 1, -3) and the direction vector, their dot product does not equal zero. So, no it does lie on the plane. Just wondering if my intuition is correct.
     
  2. jcsd
  3. Mar 11, 2016 #2

    LCKurtz

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    Yes because, as you might have added, ##\langle 2,1,3\rangle## is perpendicular to the plane. Or you might have noticed that P isn't in the plane in the first place.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted