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Mathematics
Mathematics
Problem
Find the shortest distance and the vector equation of the line of shortest distance between the lines given by
r
=
(
3
i
^
+
8
j
^
+
3
k
^
)
+
λ
(
3
i
^
−
j
^
+
k
^
)
\mathbf{r} = (3\hat{i} + 8\hat{j} + 3\hat{k}) + \lambda(3\hat{i} - \hat{j} + \hat{k})
r
=
(
3
i
^
+
8
j
^
+
3
k
^
)
+
λ
(
3
i
^
−
j
^
+
k
^
)
and
r
=
(
−
3
i
^
−
7
j
^
+
6
k
^
)
+
μ
(
−
3
i
^
+
2
j
^
+
4
k
^
)
\text{and } \mathbf{r} = (-3\hat{i} - 7\hat{j} + 6\hat{k}) + \mu(-3\hat{i} + 2\hat{j} + 4\hat{k})
and
r
=
(
−
3
i
^
−
7
j
^
+
6
k
^
)
+
μ
(
−
3
i
^
+
2
j
^
+
4
k
^
)
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