If a unit vector 
makes angles 
and an acute angle θ with 
then find θ and hence, the components of 
.
Let 
Given that it is a unit vector,
So, 
……(1)
Let 
be the angle 
with 
respectively.
Then,
(given)
(given)
Putting value of x,y, z in equation (1)
(Squaring both sides)
As 
should be acute, 
Components of 
are the coefficients of 
, which are,
3