Show that the vector is equally inclined to the coordinate axes.

If we have a vector = a + b + c

then the angle with the x - axis =

the angle with the y - axis =

the angle with the z - axis =

Here,

then the angle with the x - axis =

the angle with the y - axis =

the angle with the z - axis =

Now since,

∴ the vector is equally inclined to the coordinate axes.

Hence,proved.