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Mathematics
Problem
The tangent vector to
r
(
t
)
=
2
t
2
i
^
+
(
1
−
t
)
j
^
+
(
3
t
2
+
2
)
k
^
r(t) = 2t^2\hat{i} + (1 - t)\hat{j} + (3t^2 + 2)\hat{k}
r
(
t
)
=
2
t
2
i
^
+
(
1
−
t
)
j
^
+
(
3
t
2
+
2
)
k
^
at
(
2
,
0
,
5
)
(2, 0, 5)
(
2
,
0
,
5
)
is a.
4
i
^
+
j
^
−
6
k
^
4\hat{i} + \hat{j} - 6\hat{k}
4
i
^
+
j
^
−
6
k
^
b.
4
i
^
−
j
^
+
6
k
^
4\hat{i} - \hat{j} + 6\hat{k}
4
i
^
−
j
^
+
6
k
^
c.
2
i
^
−
j
^
+
6
k
^
2\hat{i} - \hat{j} + 6\hat{k}
2
i
^
−
j
^
+
6
k
^
d.
2
i
^
+
j
^
−
6
k
^
2\hat{i} + \hat{j} - 6\hat{k}
2
i
^
+
j
^
−
6
k
^
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