Results 1 to 2 of 2

Math Help - Vector Problem with Picture

  1. #1
    Newbie
    Joined
    Jan 2010
    Posts
    4

    Vector Problem with Picture



    AP and BQ are altitudes of triangle ABC. Let
    <above sym=rarr>OA</above> = p
    <above sym=rarr>OB</above> = q
    <above sym=rarr>OC</above> = r

    1. Find vector expressions for <above sym=rarr>AC</above> and
    <above sym=rarr>BC</above> in terms of p, q, and r.

    2. Deduce that q x r = p x q = p x r

    3. Hence, prove that OC is perpendicular to AB.


    Please help me with this vector problem! Thank you!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Prove It's Avatar
    Joined
    Aug 2008
    Posts
    11,656
    Thanks
    1480
    Quote Originally Posted by SunshineJx View Post


    AP and BQ are altitudes of triangle ABC. Let
    <above sym=rarr>OA</above> = p
    <above sym=rarr>OB</above> = q
    <above sym=rarr>OC</above> = r

    1. Find vector expressions for <above sym=rarr>AC</above> and
    <above sym=rarr>BC</above> in terms of p, q, and r.

    2. Deduce that q x r = p x q = p x r

    3. Hence, prove that OC is perpendicular to AB.


    Please help me with this vector problem! Thank you!
    1. AC = AO + OC

     = -OA + OC

     = OC - OA

     = \mathbf{r} - \mathbf{p}.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. How to solve this word problem? (with picture)
    Posted in the Trigonometry Forum
    Replies: 1
    Last Post: February 22nd 2010, 03:06 AM
  2. Math Problem !? Help ! Picture provided !?
    Posted in the Algebra Forum
    Replies: 2
    Last Post: October 9th 2009, 06:05 PM
  3. Trigononmetry Problem/ Picture?
    Posted in the Trigonometry Forum
    Replies: 2
    Last Post: May 31st 2009, 04:52 AM
  4. Geometry picture problem
    Posted in the Math Topics Forum
    Replies: 2
    Last Post: August 18th 2008, 07:51 PM
  5. Replies: 2
    Last Post: January 9th 2007, 06:18 PM

Search Tags


/mathhelpforum @mathhelpforum