Results 1 to 6 of 6

Math Help - Vector Geometry

  1. #1
    Newbie
    Joined
    Jan 2013
    From
    Illinois
    Posts
    3

    Vector Geometry

    I don't know how to approach the problem.
    Draw triangle ABC, with P the midpoint of AB, Q the midpoint of BC, and R the Midpoint of CA. If X is any point , show that XA + XB + XC = XP + XQ + XR
    Thanks!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Aug 2006
    Posts
    18,607
    Thanks
    1574
    Awards
    1

    Re: Vector Geometry

    Quote Originally Posted by ea22224 View Post
    I don't know how to approach the problem.
    Draw triangle ABC, with P the midpoint of AB, Q the midpoint of BC, and R the Midpoint of CA. If X is any point , show that XA + XB + XC = XP + XQ + XR
    Thanks!
    This is a nice question. What have you done towards solving?
    It can teach you a great deal.
    So post what you have done?
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Jan 2013
    From
    Illinois
    Posts
    3

    Re: Vector Geometry

    so i wrote that XP = XA + AP and XP = XB - PB
    AP = PB so i combined the two equations to ge 2XP = XA + XB
    and that 2XR = XA +XC and 2XQ = XB + XC
    adding the three equations together, i got 2XA +2XB + 2XC = 2XP + 2 XR + 2XQ and then simplified.
    Am I doing it right, or did i miss something
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor

    Joined
    Apr 2005
    Posts
    15,525
    Thanks
    1384

    Re: Vector Geometry

    I think I would be inclined to start with the obvious: AB+ BC= AC. Then divide both sides by 2.
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Super Member
    Joined
    Jun 2012
    From
    AZ
    Posts
    616
    Thanks
    97

    Re: Vector Geometry

    Edit: Whoops, I might have misinterpreted vectors as lengths of segments (if XA referred to the length of XA, as opposed to vector XA, the problem would be clearly flawed).
    Last edited by richard1234; January 15th 2013 at 08:44 PM.
    Follow Math Help Forum on Facebook and Google+

  6. #6
    Newbie
    Joined
    May 2013
    From
    New York
    Posts
    6

    Re: Vector Geometry

    Did you figure out the answer...........I am trying to do the same problem...............some help and clarification would be much appreciated!!
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Vector Geometry
    Posted in the Calculus Forum
    Replies: 3
    Last Post: October 20th 2012, 10:30 AM
  2. Vector geometry
    Posted in the Geometry Forum
    Replies: 1
    Last Post: March 24th 2010, 05:44 AM
  3. Vector Geometry
    Posted in the Calculus Forum
    Replies: 1
    Last Post: February 18th 2009, 07:05 PM
  4. Vector Geometry
    Posted in the Pre-Calculus Forum
    Replies: 11
    Last Post: March 29th 2008, 09:33 PM
  5. Vector Geometry
    Posted in the Geometry Forum
    Replies: 4
    Last Post: October 8th 2006, 09:31 AM

Search Tags


/mathhelpforum @mathhelpforum