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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: HOW TO FIND SHORTEST DISTANCE BETWEEN A LINE AND PLANE IN 3D?
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[Post New]31 Mar 2008 15:31:49 IST
    Subject: HOW TO FIND SHORTEST DISTANCE BETWEEN A LINE AND PLANE IN 3D?
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gaurav_2351 (8)

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HOW TO FIND SHORTEST DISTANCE BETWEEN A LINE AND PLANE IN 3D?
    
[Post New]31 Mar 2008 15:43:13 IST
    Subject: Re:HOW TO FIND SHORTEST DISTANCE BETWEEN A LINE AND PLANE IN 3D?
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newarnav (218)

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It is possible only if the line does not intersects plane
here we go:
take any point on line (convinient put z=0)*
than
distance=(Ax1+By1+C(0) +D)/(A2+B2+C2)
(simply distance of a point from plane)
cheers we have done it !!
 
My name is Arnav.
AIR 7041 IIT-JEE 08 got nothin,
currently in MA NIT bhopal civil...
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[Post New]31 Mar 2008 15:56:04 IST
    Subject: Re:HOW TO FIND SHORTEST DISTANCE BETWEEN A LINE AND PLANE IN 3D?
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gaurav_2351 (8)

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i think i asked shortest distance...............
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[Post New]31 Mar 2008 16:05:14 IST
    Subject: Re:HOW TO FIND SHORTEST DISTANCE BETWEEN A LINE AND PLANE IN 3D?
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newarnav (218)

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ya i got it  !
IN 3D a line and a plane can either be intersecting or parallel(only one possibility)
in the first case there will be min dist=0 (obviously)
and for the second case i mentioned it in my first post
ok ?
 
My name is Arnav.
AIR 7041 IIT-JEE 08 got nothin,
currently in MA NIT bhopal civil...
still ..Hoping we'll meet in IIT next year !
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[Post New]31 Mar 2008 16:25:45 IST
    Subject: Re:HOW TO FIND SHORTEST DISTANCE BETWEEN A LINE AND PLANE IN 3D?
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gaurav_2351 (8)

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ok, thanks :-)
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