Results 1 to 3 of 3

Math Help - area of parallelogram using vector diagonals

  1. #1
    Member
    Joined
    Mar 2009
    Posts
    84

    area of parallelogram using vector diagonals

    Find the area of the parallelogram having diagonals:
    A=3i+j-2k
    B=i-3j-4k

    also
    Find the volume of the parallelepiped whose edges are represented by:
    A=2i-3j+4k
    B=i+2j-k
    C=3i-j=2k
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Apr 2005
    Posts
    14,973
    Thanks
    1121
    Quote Originally Posted by leinadwerdna View Post
    Find the area of the parallelogram having diagonals:
    A=3i+j-2k
    B=i-3j-4k
    The area of a parallelogram having u and v as edges is given by |u\times v|.
    Further, the two diagonals are u+ v and u- v where u is longer than v. If B= u+ v and A= u- v, what are u and v in terms of A and B?

    also
    Find the volume of the parallelepiped whose edges are represented by:
    A=2i-3j+4k
    B=i+2j-k
    C=3i-j=2k
    A\cdot(B\times C), of course.
    Last edited by HallsofIvy; February 8th 2010 at 07:07 AM.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Member
    Joined
    Mar 2009
    Posts
    84
    thank u
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. [SOLVED] Angle between diagonals of a parallelogram
    Posted in the Pre-Calculus Forum
    Replies: 2
    Last Post: May 26th 2011, 01:37 PM
  2. Replies: 1
    Last Post: April 2nd 2011, 03:08 AM
  3. Replies: 3
    Last Post: October 16th 2010, 05:29 PM
  4. Angle of Parallelogram diagonals
    Posted in the Geometry Forum
    Replies: 2
    Last Post: January 23rd 2009, 06:38 AM
  5. Replies: 2
    Last Post: April 19th 2008, 10:57 AM

Search Tags


/mathhelpforum @mathhelpforum