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Old 11th December 2007, 12:41 AM   (permalink)
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Default Fairly simple vector problem...

But I can't quite get it...
Find the distance between two parallel lines;
L1: x=t-1 y=2-3t z=5t
L2: x=4-3s y=9s z=2-15s

What's throwing me is the parametric equations, I think. I kind of have trouble with them, so is there a way to just express these lines as f(x,y,z) instead?
In any case, I'm still having trouble with the distance, so any help is greatly appreciated, thanks.
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Old 12th March 2008, 06:34 PM   (permalink)
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digitalrain,

Quote:
I'm still having trouble with the distance, so any help is greatly appreciated, thanks.
Sure, since both lines are parallel to each other, they are also both parallel to the vector[1,-3,5]. Take one arbitrary point from each line, like maybe what you get if you set t=0 and s=0. Then go to the link below and compute the perpendicular distance from one line to the other. Ratch

http://members.tripod.com/vector_app...ine/index.html
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