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Mathematics
Problem
Show that the lines
r
⃗
=
(
3
i
^
−
15
j
^
+
9
k
^
)
+
λ
(
2
i
^
−
7
j
^
+
5
k
^
)
,
and
\vec{r} = (3\hat{i} - 15\hat{j} + 9\hat{k}) + \lambda(2\hat{i} - 7\hat{j} + 5\hat{k}), \text{ and}
r
=
(
3
i
^
−
15
j
^
+
9
k
^
)
+
λ
(
2
i
^
−
7
j
^
+
5
k
^
)
,
and
r
⃗
=
(
−
i
^
+
j
^
+
9
k
^
)
+
μ
(
2
i
^
+
j
^
−
3
k
^
)
\vec{r} = (-\hat{i} + \hat{j} + 9\hat{k}) + \mu(2\hat{i} + \hat{j} - 3\hat{k})
r
=
(
−
i
^
+
j
^
+
9
k
^
)
+
μ
(
2
i
^
+
j
^
−
3
k
^
)
do not intersect.
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