Let u = x i^ + y j^ + z k^
and x2 + y2 + z2 = 9 .....................(1)
(u).(i^) = x
3.1.cos

= x ; x = 3cos

sinilarly, y = 3cos

and z = 3cos

using values of x, y and z in (1)
3cos
2
= 1
Cos

= 1/

3
therefore x = y = z = 3/

3 =

3
hence, u =

3i^ +

3j^ +

3k^.