Question

Show that the direction cosines of a vector equally inclined to the axes OX, OY and OZ

are 1/√3, 1/√3, 1/√3 .

Answer 1

Let a vector be equally inclined to axes OX, OY, and OZ at angle α. Then, the direction cosines of the vector are cos α, cos α, and cos α.

Hence, the direction cosines of the vector which are equally inclined to the axes
are. 1/√3, 1/√3, 1/√3