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Find foot of the the perpendicular …

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Find foot of the the perpendicular betweeen A(1,0,3) B(4, 7,1) C(3,5,3=

Posted by Hanu Hanu 6 years, 11 months ago

CBSE > Class 12 > Mathematics

1 answers

Gaurav Seth 6 years, 11 months ago

<pre> Let ‘L’ be the fot of perpendicular AL, which divides BC in the ratio a:1 = (3a+4)/(a+1),(5a+7)/(a+1),(3a+1)/(a+1) Also D.R’s of the BC and AL are , D.R’s of BC= -1,-2,2 D.R’s of AL =((3a+4)/(a+1))-1,((5a+7)/(a+1))-0,((3a+1)/(a+1))-3 since AL is perpendicular to BC Cos90 = 0 →BC, AL are the lines with D.R’s as magnitudes 2(((3a+4)/(a+1))-1)-2(((5a+7)/(a+1))-0)+(((3a+1)/(a+1))-3)2=0 we get a=-7/4 So L=(5/3,7/3,17/3)</pre>

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