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Mathematics
Mathematics
Problem
Find the Shortest distance between the Lines:
r
⃗
1
=
(
λ
−
1
)
i
^
+
(
λ
+
1
)
j
^
−
(
λ
+
1
)
k
^
\vec{r}_1 = (\lambda - 1)\hat{i} + (\lambda + 1)\hat{j} - (\lambda + 1)\hat{k}
r
1
=
(
λ
−
1
)
i
^
+
(
λ
+
1
)
j
^
−
(
λ
+
1
)
k
^
r
⃗
2
=
(
1
−
μ
)
i
^
+
(
2
μ
−
1
)
j
^
+
(
μ
+
2
)
k
^
\vec{r}_2 = (1 - \mu)\hat{i} + (2\mu - 1)\hat{j} + (\mu + 2)\hat{k}
r
2
=
(
1
−
μ
)
i
^
+
(
2
μ
−
1
)
j
^
+
(
μ
+
2
)
k
^
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