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Mathematics
Mathematics
Problem
Find the unit tangent vector
T
(
t
)
\mathbf{T}(t)
T
(
t
)
at the given point on the curve.
r
(
t
)
=
sin
t
i
+
5
t
j
+
cos
t
k
,
(
0
,
0
,
1
)
\mathbf{r}(t) = \sin t \mathbf{i} + 5t \mathbf{j} + \cos t \mathbf{k}, (0, 0, 1)
r
(
t
)
=
sin
t
i
+
5
t
j
+
cos
t
k
,
(
0
,
0
,
1
)
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