(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 Find the Cartesian equation of the following planes:
(a)
ˆ
ˆ
ˆ
(
)
2
r
i
j
k
⋅
+
−
=
r
(b)
ˆ
ˆ
ˆ
(2
3
4 )
1
r
i
j
k
⋅
+
−
=
r
(c)
ˆ
ˆ
ˆ
[(
2 )
(3
)
(2
)
]
15
r
s
t i
t
j
s
t k
⋅
−
+
−
+
+
=
r
4