Therefore, the distance of the point (2, 5, – 3) from the given plane is
ˆ
ˆ
ˆ
ˆ
ˆ
ˆ
| (2
5
3 ) (6
3
2
)
4|
ˆ
ˆ
ˆ
| 6
3
2
|
i
j
k
i
j
k
i
j
k
+
−
⋅
−
+
−
−
+
 = 
| 12
15
6
4 |
713
36
9
4
−
−
−
=
+
+
© NCERT
not to be republished
 MATHEMATI CS
492
11 10  Angle between a Line and a Plane
Definition 3 The angle between a line and a plane is
the complement of the angle between the line and
normal to the plane (Fig 11 20) Vector form If the equation of the line is
b
a
r
r
r
r
+λ
=
 and the equation of the plane is
r n
d
⋅
r r=