Find the vector equation of a plane which is at a distance of 3 units from the origin and has 
as the unit vector normal to it.
Given: Normal vector, 
= i
Now, 
The equation of a plane in normal form is 
= d (where d is the distance of the plane from the origin)
Substituting n = k and d = 3 in the relation, we get
.
= 3
1