View Single Post
  #1  
Old May 23rd, 2009, 11:22 PM
fardeen_gen's Avatar
fardeen_gen fardeen_gen is offline
Super Member
 
Join Date: Jun 2008
Posts: 535
Country:
Thanks: 586
Thanked 26 Times in 23 Posts
fardeen_gen will become famous soon enough
Default Complex numbers and triangles?

If z_1,z_2,z_3 be the complex numbers represented by the vertices A, B, C of a triangle \mbox{ABC} in anticlockwise order, show that:

\left|\sum \frac{z_2 - z_3}{z_1}|z_1|^2\right|\cos A - 2R[(z_1 - z_2)(\bar{z_1} - \bar{z_2})]\sin A = 0
Reply With Quote