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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 Find the vector equation of the line passing through (1, 2, 3) and parallel to  the
planes 
ˆ
ˆ
ˆ
(
2 )
5
r
i
j
k
⋅
−
+
=
r
 and 
ˆ
ˆ
ˆ
(3
)
6
r
i
j
k
⋅
+
+
=
r