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October 31st, 2013, 01:08 AM   #1
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shortest distance between 2 lines in 3-space

'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.
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October 31st, 2013, 04:25 AM   #2
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Re: shortest distance between 2 lines in 3-space

I agree with you. Unless you've mistyped something in the original equations.
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November 4th, 2013, 01:21 AM   #3
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Re: shortest distance between 2 lines in 3-space

Thank you Pero, much appreciated.
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