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Vectors
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Partha Pratim
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Joined: 15 Mar 2007
Posts: 336
20 Mar 2008 08:04:45 IST
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(1,0,7)
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20 Mar 2008 08:10:13 IST
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let the line x/1=y-1/2=z-2/3=k
any point on this line is (k,2k+1,3k+2)
direction ratios of the line joining this point and (1,6,3) is
(k-1,2k-5,3k-1)
this line and the given line are perpendicular
therefore l1l2+m1m2+n1n2=0
1.(k-1)+2(2k-5)+3(3k-3)=0
solving we get k=1
the point on the line is 1,3,5
thi point is the midpoint of the reqd point and given point,
so put the section formula and the answer will be(1,0,7)
any point on this line is (k,2k+1,3k+2)
direction ratios of the line joining this point and (1,6,3) is
(k-1,2k-5,3k-1)
this line and the given line are perpendicular
therefore l1l2+m1m2+n1n2=0
1.(k-1)+2(2k-5)+3(3k-3)=0
solving we get k=1
the point on the line is 1,3,5
thi point is the midpoint of the reqd point and given point,
so put the section formula and the answer will be(1,0,7)










