Find the equation of the plane which contains the line of intersection of the planes
ˆ
ˆ
ˆ
(
2
3 )
4
0
r
i
j
k
⋅
+
+
−
=
r
,
ˆ
ˆ
ˆ
(2
)
5
0
r
i
j
k
⋅
+
−
+
=
r
and which is perpendicular to the
plane 
ˆ
ˆ
ˆ
(5
3
6 )
8
0
r
i
j
k
⋅
+
−
+
=
r © NCERT
not to be republished
THREE D IMENSIONAL G EOMETRY
499
18 Find the distance of the point (– 1, – 5, – 10) from the point of intersection of the
line 
ˆ
ˆ
ˆ
ˆ
ˆ
ˆ
2
2
(3
4
2
)
r
i
j
k
i
j
k
=
−
+
+ λ
+
+
r
and the plane 
ˆ
ˆ
ˆ
(
)
5
r
i
j
k
⋅
−
+
=
r 19