The direction cosines of a line which makes equal angles with the co-ordinate axes are____

Step-by-step solution

Let l ,   m ,   n   =   cos   α ,   cos   β ,   cos γ are direction cosines. We know that l ,   m ,   n are direction cosines then ⇒ l 2 + m 2 + n 2 = 1 Given that they are making equal angles with axes i . e   cos   α   =   cos   β   =   cos   γ ⇒ 3 cos 2   α   =   1 ⇒ cos   α   =   ± 1 3 So Required is ± 1 3 ,   ± 1 3