In each of the following cases, determine the direction cosines of the normal to
the plane and the distance from the origin (a)
z = 2
(b)
x + y + z = 1
(c)
2x + 3y – z = 5
(d)
5y + 8 = 0
2 Find the vector equation of a plane which is at a distance of 7 units from the
origin and normal to the vector  
k
j
i
6ˆ
5ˆ
3ˆ
−
+ 3