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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: Find de length of de perpendicular!~
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[Post New]12 Jul 2008 18:35:19 IST
    Subject: Find de length of de perpendicular!~
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yash_gryffindor (609)

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Find the length of a perpendicular frm P(2.-3,1) to the line x+1/2 = y-3/3 = z+2/-1
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[Post New]12 Jul 2008 20:29:57 IST
    Subject: Re:Find de length of de perpendicular!~
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allamraju (3422)

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Any point Q on the given line with D.R's (2,3,1) is of the form (-1+2t,3+3t,-2-t).So,the D.R's of PQ are (2t-3,3t+6,-t-3).For perpendicularity,

(2t-3,3t+6,-t-3).(2,3,1)=014t+15=0t=-15/14.

So,Q=(-22/7,-3/14,-13/14) and PQ2=(1/14)2[(72)2+(39)2+(27)2]

PQ2=3717/98PQ=length of perpendicular=
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