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Analytical Geometry

Cool goIITian

Joined:	8 Jul 2008
Post:	40

19 Mar 2010 13:28:53 IST

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Find distance of point

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Find distance of point (-3,4,-4) from the line (x+2)/3 = (2y+3)/4 = (3z+4)/5 measured parallel to the plane 4x + 12y -3z +1 =0

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Krishna Gopal Singh

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Joined: 29 Dec 2006

Posts: 4965

19 Mar 2010 18:15:15 IST

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Let (-3,4,-4) = P.

Let Q be a general point on line.

So Q = (3k-2,(4k-3)/2,(5k-4)/3)

As PQ is parallel to plane so it is perpendicular to normal to plane (n) = 4i+12j-3k

Put n.PQ = 0 and solve to get k

Distance parallel to plane is length PQ.

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