Drexel dragonThe Math ForumDonate to the Math Forum



Search All of the Math Forum:

Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.


Math Forum » Discussions » Math Topics » alt.math.undergrad.independent

Topic: how do i prove the following?
Replies: 0  

Advanced Search

Back to Topic List Back to Topic List  
Johny

Posts: 4
Registered: 12/10/04
how do i prove the following?
Posted: Mar 13, 2004 12:30 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

ABC is a given triangle. The center of the circle through A, B and C
is O. Relative to O, the position vectors of A,B, C are vector a,
vector b and vector c. If H is the point with position vector a + b +
c, prove that Vector AH, Vector BH and Vector CH are perpendicular to
Vector BC, Vector CA, Vector AB respectively. If A’, B’, C’ are the
midpoints of vector BC, vector CA, vector AB respectively, prove that
Vector AA’, Vector BB’, and Vector CC are concurrent in G and find the
position vector of G. Prove that O, G, H lie on a straight line.





Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© Drexel University 1994-2014. All Rights Reserved.
The Math Forum is a research and educational enterprise of the Drexel University School of Education.