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Mathematics
Mathematics
Problem
Find the shortest distance between the lines
r
⃗
=
(
4
i
^
−
j
^
)
+
λ
(
i
^
+
2
j
^
−
3
k
^
)
\vec{r} = (4\hat{i} - \hat{j}) + \lambda(\hat{i} + 2\hat{j} - 3\hat{k})
r
=
(
4
i
^
−
j
^
)
+
λ
(
i
^
+
2
j
^
−
3
k
^
)
and
r
⃗
=
(
i
^
−
j
^
+
2
k
^
)
+
μ
(
2
i
^
+
4
j
^
−
5
k
^
)
\vec{r} = (\hat{i} - \hat{j} + 2\hat{k}) + \mu(2\hat{i} + 4\hat{j} - 5\hat{k})
r
=
(
i
^
−
j
^
+
2
k
^
)
+
μ
(
2
i
^
+
4
j
^
−
5
k
^
)
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