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Mathematics
Mathematics
Problem
Find the shortest distance between the lines
r
⃗
=
i
^
+
2
j
^
+
k
^
+
λ
(
i
^
−
j
^
+
k
^
)
\vec{r} = \hat{i} + 2\hat{j} + \hat{k} + \lambda(\hat{i} - \hat{j} + \hat{k})
r
=
i
^
+
2
j
^
+
k
^
+
λ
(
i
^
−
j
^
+
k
^
)
and
r
⃗
=
2
i
^
−
j
^
−
k
^
+
μ
(
2
i
^
+
j
^
+
2
k
^
)
\vec{r} = 2\hat{i} - \hat{j} - \hat{k} + \mu(2\hat{i} + \hat{j} + 2\hat{k})
r
=
2
i
^
−
j
^
−
k
^
+
μ
(
2
i
^
+
j
^
+
2
k
^
)
. (M-17)
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