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Mathematics
Problem
At what points does the helix
r
(
t
)
=
⟨
sin
t
,
cos
t
,
t
⟩
\mathbf{r}(t) = \langle \sin t, \cos t, t \rangle
r
(
t
)
=
⟨
sin
t
,
cos
t
,
t
⟩
intersect the sphere
x
2
+
y
2
+
z
2
=
5
x^2 + y^2 + z^2 = 5
x
2
+
y
2
+
z
2
=
5
?
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