Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
The point
P
P
P
on the curve
r
(
t
)
=
(
1
−
2
t
)
i
^
+
t
2
j
^
+
2
e
2
(
t
−
1
)
k
^
r(t) = (1 - 2t)\hat{i} + t^2\hat{j} + 2e^{2(t-1)}\hat{k}
r
(
t
)
=
(
1
−
2
t
)
i
^
+
t
2
j
^
+
2
e
2
(
t
−
1
)
k
^
at which the tangent vector
r
′
(
t
)
r'(t)
r
′
(
t
)
is parallel to the radius vector
r
(
t
)
r(t)
r
(
t
)
is a.
(
−
1
,
1
,
2
)
(-1, 1, 2)
(
−
1
,
1
,
2
)
b.
(
1
,
−
1
,
2
)
(1, -1, 2)
(
1
,
−
1
,
2
)
c.
(
−
1
,
1
,
−
2
)
(-1, 1, -2)
(
−
1
,
1
,
−
2
)
d.
(
1
,
1
,
2
)
(1, 1, 2)
(
1
,
1
,
2
)
Browse the problem library