1. Not finding help here? Sign up for a free 30min 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!

More old material planes, normal and parallel vectors

  1. Apr 30, 2012 #1
    1. The problem statement, all variables and given/known data

    Consider z = -3x - y + 11

    Find a unit vector perpendicular to the plane, and find a vector parallel to the plane.

    2. Relevant equations



    3. The attempt at a solution

    1.)

    0 = -3x - y + 11 - z
    -11 = - 3x - y - z

    Perpendicular vector is then:

    -3i -j -k

    And to make that a unit vector, divide it by sqrt(11)


    2.)

    Here's what I'm not sure of. Can I just pick anything that gives me a dot product of 0 with the above?

    Such that:

    - 3a - b - c = 0?

    Choosing a = -3, b = 5, c = 4,

    A parallel vector to the plane is -3i + 5j + 4k?

    Or is that incorrect?
     
  2. jcsd
  3. Apr 30, 2012 #2

    LCKurtz

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    It is all correct.
     
  4. Apr 30, 2012 #3
    Thank you sir.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: More old material planes, normal and parallel vectors
Loading...