Question
If a unit vector 
makes angle 
and an acute angle 
with 
, then find the component of 
and the angle 
.
Solution
Let a1 , a2 , a3 be scalar components of 
.
Since
makes an angle 
Again,
makes an angle 
Since
is a unit vector
.Since
makes an angle Again,
makes an angle Since
is a unit vector∴ = 60°, 120°
Rejecting 
= 120° as ө is given to be acute,
we have 
= 160°
Now scalar components of 
are 
and vector component of 
are 
Also 
