Let l,m,n be the direction cosines of the required line. Since, it is perpendicular to the lines whose direction cosines are proportional to 1,−2,−2 and 0,2,1 respectively Thus, l−2m−2n=0 and 2m+n=0 On solving
l
2
=
m
−1
=
n
2
Thus, DR's of required line are proportional to (2,−1,2) Hence, direction cosines are =(