Vector-Valued Functions
AP Precalculus · Flashcards · Application
AP PRECALCULUS · FLASHCARDS
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QUESTION
Find the unit vector in the direction of
⟨
6
,
8
⟩
\langle 6,8\rangle
⟨
6
,
8
⟩
.
QUESTION
Eliminate the parameter:
r
(
t
)
=
⟨
2
t
+
1
,
3
t
−
2
⟩
\mathbf{r}(t)=\langle 2t+1,3t-2\rangle
r
(
t
)
=
⟨
2
t
+
1
,
3
t
−
2
⟩
.
QUESTION
Identify the point on the curve at
t
=
2
t=2
t
=
2
for
r
(
t
)
=
⟨
t
−
1
,
2
t
⟩
\mathbf{r}(t)=\langle t-1,2t\rangle
r
(
t
)
=
⟨
t
−
1
,
2
t
⟩
.
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ANSWER
⟨
1
,
4
⟩
\langle 1,4\rangle
⟨
1
,
4
⟩
. Substitute
t
=
2
t=2
t
=
2
:
⟨
2
−
1
,
2
(
2
)
⟩
\langle 2-1, 2(2)\rangle
⟨
2
−
1
,
2
(
2
)⟩
.
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