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Mathematics
Problem
Compute the shortest distance between the lines
r
⃗
=
(
i
^
−
j
^
)
+
λ
(
2
i
^
−
k
^
)
and
r
⃗
=
(
2
i
^
−
j
^
)
+
μ
(
i
^
−
j
^
−
k
^
)
,
\vec{r} = (\hat{i} - \hat{j}) + \lambda(2\hat{i} - \hat{k}) \text{ and } \vec{r} = (2\hat{i} - \hat{j}) + \mu(\hat{i} - \hat{j} - \hat{k}),
r
=
(
i
^
−
j
^
)
+
λ
(
2
i
^
−
k
^
)
and
r
=
(
2
i
^
−
j
^
)
+
μ
(
i
^
−
j
^
−
k
^
)
,
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