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Mathematics
Problem
Show that the lines
r
⃗
=
(
2
i
^
−
3
k
^
)
+
λ
(
i
^
+
2
j
^
+
3
k
^
)
and
r
⃗
=
(
2
i
^
+
6
j
^
+
3
k
^
)
+
μ
(
2
i
^
+
3
j
^
+
4
k
^
)
\vec{r} = (2\hat{i} - 3\hat{k}) + \lambda(\hat{i} + 2\hat{j} + 3\hat{k}) \text{ and } \vec{r} = (2\hat{i} + 6\hat{j} + 3\hat{k}) + \mu(2\hat{i} + 3\hat{j} + 4\hat{k})
r
=
(
2
i
^
−
3
k
^
)
+
λ
(
i
^
+
2
j
^
+
3
k
^
)
and
r
=
(
2
i
^
+
6
j
^
+
3
k
^
)
+
μ
(
2
i
^
+
3
j
^
+
4
k
^
)
intersect. a. Also, find their point of intersection.
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