Results 1 to 6 of 6

Math Help - Finding Vertices of a Parallelepiped

  1. #1
    Member
    Joined
    Aug 2008
    Posts
    225

    Finding Vertices of a Parallelepiped

    I will try to describe the picture:

    The figure is a rectangular box, with the near lower left point A labeled (3,3,4) and the far top right point B labeled (-1,6,7).

    I am to find the coordinates of the remaining 6 vertices. There are no examples in my book, and I'm not sure how to solve. I have found |A|= root 34, |B| = root 86, and |AB| = root 34.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member
    Joined
    Dec 2008
    From
    Scotland
    Posts
    901
    Quote Originally Posted by veronicak5678 View Post
    I will try to describe the picture:

    The figure is a rectangular box, with the near lower left point A labeled (3,3,4) and the far top right point B labeled (-1,6,7).

    I am to find the coordinates of the remaining 6 vertices. There are no examples in my book, and I'm not sure how to solve. I have found |A|= root 34, |B| = root 86, and |AB| = root 34.
    View my diagram and note that, by pythagorus:

     |BH|^2 + |AH|^2 = |AB|^2 (which you can see from the blue line!)

    You know A and B, so you can most certainly find H from this, and then continue in that fashion to uncover the rest of the coordinates.
    Attached Thumbnails Attached Thumbnails Finding Vertices of a Parallelepiped-ghj.jpg  
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Member
    Joined
    Aug 2008
    Posts
    225
    Thanks for answering and for providing a diagram.
    I understand what you mean, but don't know how to solve for |BH| and |AH| using the points I have.
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Super Member
    Joined
    Dec 2008
    From
    Scotland
    Posts
    901
    Quote Originally Posted by veronicak5678 View Post
    Thanks for answering and for providing a diagram.
    I understand what you mean, but don't know how to solve for |BH| and |AH| using the points I have.
    Show me your working for |AB|.
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Member
    Joined
    Aug 2008
    Posts
    225
    |AB| = root ( (-1-3)^2 + (6-3)^2 + (7-4)^2 ) = root 34
    Follow Math Help Forum on Facebook and Google+

  6. #6
    Super Member
    Joined
    Dec 2008
    From
    Scotland
    Posts
    901
    Delete.
    Last edited by Mush; January 23rd 2009 at 04:21 PM. Reason: Delete.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 8
    Last Post: February 28th 2010, 01:47 PM
  2. finding hyperbola vertices, ect.
    Posted in the Pre-Calculus Forum
    Replies: 2
    Last Post: December 6th 2009, 07:22 PM
  3. Parallelepiped Vertices
    Posted in the Calculus Forum
    Replies: 1
    Last Post: August 31st 2009, 12:17 PM
  4. Finding the vertices, center and foci for an ellipse
    Posted in the Pre-Calculus Forum
    Replies: 3
    Last Post: April 5th 2009, 12:36 PM
  5. Finding area of a polygon with 8 vertices
    Posted in the Geometry Forum
    Replies: 1
    Last Post: February 3rd 2009, 08:13 PM

Search Tags


/mathhelpforum @mathhelpforum