Find the direction cosines of a vector which is equally inclined to the x - axis, y - axis and z - axis.

Let the inclination with:


x - axis =


y - axis =


z - axis =


The vector is equally inclined to the three axes.


⇒


Direction cosines


We know that:cos2 α + cos2 β + cos2 γ = 1


⇒ cos2 α + cos2 α + cos2 α = 1 …(


⇒3 cos2 α = 1



⇒




Ans:


1