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Mathematics
Mathematics
Problem
The curves
r
1
(
t
)
=
⟨
t
,
t
2
,
t
3
⟩
\mathbf{r}_1(t) = \langle t, t^2, t^3 \rangle
r
1
(
t
)
=
⟨
t
,
t
2
,
t
3
⟩
and
r
2
(
t
)
=
⟨
sin
t
,
sin
2
t
,
t
⟩
\mathbf{r}_2(t) = \langle \sin t, \sin 2t, t \rangle
r
2
(
t
)
=
⟨
sin
t
,
sin
2
t
,
t
⟩
intersect at the origin. Find their angle of intersection correct to the nearest degree.
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