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Question
Direction cosines of the line which is perpendicular to the lines whose direction ratios are 1, –1, 2 and 2, 1, –1 are given by :
Options:
A .  [−1√35,5√35,3√35]
B .  [−1√35,−5√35,3√35]
C .  [1√35,5√35,−3√35]
D .  [1√35,−7√35,−3√35]
Answer: Option A
:
A
If l, m, n are the d.c.’s of the line which is perpendicular to the given lines, then
l – m + 2n = 0 and 2l + m –n = 0
l12=m4+1=n1+2l1=m5=n3.
so d.r's =(1,5,3)

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