If OP→ is equally inclined to OX→,OY→ and OZ→and if Pis 3 units from the origin then P which lies in the first octant is
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a
5,6,7
b
2,3,4
c
1,1,1
d
−1,−1,1
answer is C.
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Detailed Solution
If the length of the line OP=rand direction cosines of OP¯ are l,m,n then the coordinates of the point Plr,mr,nrSince the line OP→ makes equal angles with coordinate axes, the direction cosines of OP→are 13,13,13Therefore, the coordinates of the point P where OP=3 are P1,1,1 take all positive coordinates because the point P lies in the first octant .