Results 1 to 3 of 3

Math Help - Verify that a line lies wholly in a plane

  1. #1
    Junior Member
    Joined
    May 2008
    Posts
    61

    Verify that a line lies wholly in a plane

    1. Verify that the line with equation r= 2i +4j +k + t(-4i + 4j -
    5k) lies wholly in the plane with equation 3x -2y +4z = 2.


    I rearranged r to be r = i(-4t-1) + j(4t+4) + k(-5t+1)
    I substitued this each component into 3x -2y +4z and got
    3(-4t-1) - 2(4t+4) + 4(-5t+1)= -40t + 2

    I was hoping to get 2 which would show that it is wholly in the
    plane. Is that wrong??




    Thankyou.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Aug 2006
    Posts
    18,677
    Thanks
    1618
    Awards
    1
    Quote Originally Posted by woollybull View Post
    1. Verify that the line with equation r= 2i +4j +k + t(-4i + 4j - 5k) lies wholly in the plane
    with equation 3x -2y +4z = 2.
    I rearranged r to be r = i(-4t-1) + j(4t+4) + k(-5t+1)
    There is a small mistake: x=-4t+2
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Junior Member
    Joined
    May 2008
    Posts
    61
    Hey thanks!! I did check it several times as well!
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. vector lies in the plane
    Posted in the Advanced Algebra Forum
    Replies: 6
    Last Post: October 10th 2011, 12:58 PM
  2. Replies: 0
    Last Post: February 21st 2011, 07:47 AM
  3. Replies: 6
    Last Post: December 7th 2009, 06:12 PM
  4. Replies: 8
    Last Post: March 29th 2009, 11:36 AM
  5. Replies: 2
    Last Post: November 21st 2008, 03:30 AM

Search Tags


/mathhelpforum @mathhelpforum