
Geometry Geometry Math Forum 
 LinkBack  Thread Tools  Display Modes 
May 8th, 2017, 05:50 PM  #1 
Senior Member Joined: Nov 2015 From: hyderabad Posts: 230 Thanks: 2  Distance between two straight lines
Hello Anyone help me to find the distance between the straight lines attached. Thanks in advance! 
May 9th, 2017, 02:16 AM  #2 
Senior Member Joined: Feb 2010 Posts: 661 Thanks: 119 
A

May 9th, 2017, 02:53 AM  #3 
Senior Member Joined: Nov 2015 From: hyderabad Posts: 230 Thanks: 2  
May 9th, 2017, 03:35 AM  #4 
Global Moderator Joined: Dec 2006 Posts: 18,847 Thanks: 1568 
(2u, u + 1, u  1) and (2v  1, v  1, v  1) are general points on the lines. The square of the distance between them is (2u  2v + 1)² + (u  v + 2)² + (u  v)², which equals ((6u  6v + 4)² + 14)/6 and so has minimum value 14/6 = 21/9. Hence the square of the distance between the lines is 21/9. 
May 21st, 2017, 05:33 PM  #5  
Senior Member Joined: Nov 2015 From: hyderabad Posts: 230 Thanks: 2  Quote:
 

Tags 
distance, lines, straight 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
straight lines  yash0270  Algebra  5  September 4th, 2015 06:35 AM 
Straight Lines Questions.........  devvaibhav  Algebra  11  June 2nd, 2013 12:47 PM 
Please for Straight lines  alloy  Algebra  1  November 3rd, 2012 02:27 AM 
About Straight Lines Plz  alloy  Algebra  1  October 30th, 2012 08:56 AM 
Two straight lines  mikeportnoy  Algebra  13  December 22nd, 2009 12:45 PM 