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Mathematics
Mathematics
Problem
Find the angle between each of the following pairs of lines:
r
⃗
=
(
3
i
^
+
j
^
−
2
k
^
)
+
λ
(
i
^
−
j
^
−
2
k
^
)
and
r
⃗
=
(
2
i
^
−
j
^
−
5
k
^
)
+
μ
(
3
i
^
−
5
j
^
−
4
k
^
)
\vec{r} = (3\hat{i} + \hat{j} - 2\hat{k}) + \lambda(\hat{i} - \hat{j} - 2\hat{k}) \text{ and } \vec{r} = (2\hat{i} - \hat{j} - 5\hat{k}) + \mu(3\hat{i} - 5\hat{j} - 4\hat{k})
r
=
(
3
i
^
+
j
^
−
2
k
^
)
+
λ
(
i
^
−
j
^
−
2
k
^
)
and
r
=
(
2
i
^
−
j
^
−
5
k
^
)
+
μ
(
3
i
^
−
5
j
^
−
4
k
^
)
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