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Mathematics
Problem
At what point do the curves
r
1
(
t
)
=
⟨
t
,
1
−
t
,
3
+
t
2
⟩
\mathbf{r}_1(t) = \langle t, 1 - t, 3 + t^2 \rangle
r
1
(
t
)
=
⟨
t
,
1
−
t
,
3
+
t
2
⟩
and
r
2
(
s
)
=
⟨
3
−
s
,
s
−
2
,
s
2
⟩
\mathbf{r}_2(s) = \langle 3 - s, s - 2, s^2 \rangle
r
2
(
s
)
=
⟨
3
−
s
,
s
−
2
,
s
2
⟩
intersect? Find their angle of intersection correct to the nearest degree.
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