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October 31st, 2013, 02:08 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, 05:25 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, 01:21 AM  #3 
Newbie Joined: Oct 2013 Posts: 17 Thanks: 0  Re: shortest distance between 2 lines in 3space
Thank you Pero, much appreciated.


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3space, distance, lines, shortest 
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