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Mathematics
Mathematics
Problem
Find the point on the curve
r
(
t
)
=
⟨
2
cos
t
,
2
sin
t
,
e
t
⟩
\mathbf{r}(t) = \langle 2 \cos t, 2 \sin t, e^t \rangle
r
(
t
)
=
⟨
2
cos
t
,
2
sin
t
,
e
t
⟩
,
0
≤
t
≤
π
0 \le t \le \pi
0
≤
t
≤
π
, where the tangent line is parallel to the plane
3
x
+
y
=
1
\sqrt{3}x + y = 1
3
x
+
y
=
1
.
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