Which of the following represents direction cosines of the line?
Question
Which of the following represents direction cosines of the line?
A.
0,21,21
B.
0,23,21
C.
31,31,31
D.
0,31,31
Correct option is B
Direction cosines l,m,n of a line must satisfy the condition:l2+m2+n2=1So, for each option, we compute:l2+m2+n2Only the one that gives 1 will be the valid set of direction cosines.Option B:l=0,m=23,n=2102+(23)2+(21)2=43+41=44=1