
Algebra PreAlgebra and Basic Algebra Math Forum 
 LinkBack  Thread Tools  Display Modes 
October 31st, 2013, 01:08 AM  #1 
Newbie Joined: Oct 2013 Posts: 17 Thanks: 0  shortest distance between 2 lines in 3space
'Show that the shortest distance between the line with equations: and the line with equations: is ' I'm trying to use the formula I take a to be 4i + 3j  6k (position vector of a point on line 1) c to be 7i/2 + 7k/2 (position vector of a point on line 2) b is 3i + 2j + 5k (direction of line 1) d is 2i + j  4k (direction of line 2) I make a  c to be 15i/2 + 3j  19k/2 and b x d to be 13i + 2j + 7k I make (a  c).(b x d) = 37 and b x d = so my answer is: which does not agree with the question. Can someone please tell me where I am going wrong? Thank you. 
October 31st, 2013, 04:25 AM  #2 
Senior Member Joined: Jun 2013 From: London, England Posts: 1,312 Thanks: 115  Re: shortest distance between 2 lines in 3space
I agree with you. Unless you've mistyped something in the original equations.

November 4th, 2013, 12:21 AM  #3 
Newbie Joined: Oct 2013 Posts: 17 Thanks: 0  Re: shortest distance between 2 lines in 3space
Thank you Pero, much appreciated.


Tags 
3space, distance, lines, shortest 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Shortest distance triangle  bracke  Algebra  3  May 10th, 2012 09:44 AM 
distance between two equal lines at given angle and distance  Joker757  Algebra  1  February 5th, 2012 03:02 PM 
shortest distance  mikeportnoy  Algebra  5  May 16th, 2010 02:56 PM 
Shortest distance between multiple lines?  sjeddie  Algebra  0  October 26th, 2008 05:24 AM 
shortest distance  arun  Algebra  6  March 4th, 2007 09:01 AM 