The direction cosines of a line equally inclined to three mutually perpendicular lines having direction cosines as l1,m1,n1;l2,m2,n2 and l3,m3,n3 are

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l1+l2+l3,m1+m2+m3,n1+n2+n3

l1+l2+l33,m1+m2+m33,n1+n2+n33

l1+l2+l39,m1+m2+m39,n1+n2+n39

answer is B.

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Detailed Solution

Since the three lines are mutually perpendicular,l1l2+m1m2+n1n2=0l2l3+m2m3+n2n3=0l3l1+m3m1+n3n1=0

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