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 MATHEMATI CS
478
9 Find the vector and the cartesian equations of the line that passes through the
points (3, – 2, – 5), (3, – 2, 6) 10 Find the angle between the following pairs of lines:
(i)
ˆ
ˆ
ˆ
ˆ
ˆ
ˆ
2
5
(3
2
6 )
r
i
j
k
i
j
k
=
−
+
+ λ
+
+
r
 and
ˆ
ˆ
ˆ
ˆ
ˆ
7
6
(
2
2 )
r
i
k
i
j
k
=
−
+ µ
+
+
r
(ii)
ˆ
ˆ
ˆ
ˆ
ˆ
ˆ
3
2
(
2 )
r
i
j
k
i
j
k
=
+
−
+ λ
−
−
r
 and
ˆ
ˆ
ˆ
ˆ
ˆ
ˆ
2
56
(3
5
4 )
r
i
j
k
i
j
k
=
−
−
+ µ
−
−
r
11