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Mathematics
Mathematics
Problem
15. Find the shortest distance between the lines whose vector equations are
\nvec
r
=
(
1
−
t
)
i
^
+
(
t
−
2
)
j
^
+
(
3
−
2
t
)
k
^
\nvec{r}=(1-t) \hat{i}+(t-2) \hat{j}+(3-2 t) \hat{k}
\nvec
r
=
(
1
−
t
)
i
^
+
(
t
−
2
)
j
^
+
(
3
−
2
t
)
k
^
and
\nvec
r
=
(
s
+
1
)
i
^
+
(
2
s
−
1
)
j
^
−
(
2
s
+
1
)
k
^
\nvec{r}=(s+1) \hat{i}+(2 s-1) \hat{j}-(2 s+1) \hat{k}
\nvec
r
=
(
s
+
1
)
i
^
+
(
2
s
−
1
)
j
^
−
(
2
s
+
1
)
k
^
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