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31 Mar 2008 15:31:49 IST

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HOW TO FIND SHORTEST DISTANCE BETWEEN A LINE AND PLANE IN 3D?

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HOW TO FIND SHORTEST DISTANCE BETWEEN A LINE AND PLANE IN 3D?

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Arnav Guha

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Joined: 22 Feb 2007

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31 Mar 2008 15:43:13 IST

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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=(Ax_1⁺By₁+C(0) +D)/

(A²+B²+C²)

(simply distance of a point from plane)

cheers we have done it !!

gaurav

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31 Mar 2008 15:56:04 IST

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i think i asked shortest distance...............

Arnav Guha

Scorching goIITian

Joined: 22 Feb 2007

Posts: 209

31 Mar 2008 16:05:14 IST

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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 ?

gaurav

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31 Mar 2008 16:25:45 IST

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ok, thanks :-)

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