Solving Problems with Vectors and Velocity
Precalculus · Flashcards · Application
PRECALCULUS · FLASHCARDS
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QUESTION
Find position at
t
=
3
t=3
t
=
3
if
r
⃗
0
=
⟨
2
,
−
1
⟩
\vec{r}_0=\langle 2,-1\rangle
r
0
=
⟨
2
,
−
1
⟩
and
v
⃗
=
⟨
−
4
,
5
⟩
\vec{v}=\langle -4,5\rangle
v
=
⟨
−
4
,
5
⟩
.
QUESTION
Find
proj
⟨
1
,
0
⟩
⟨
3
,
4
⟩
\operatorname{proj}_{\langle 1,0\rangle}\langle 3,4\rangle
proj
⟨
1
,
0
⟩
⟨
3
,
4
⟩
.
QUESTION
With
r
⃗
0
=
⟨
1
,
2
⟩
\vec{r}_0=\langle 1,2\rangle
r
0
=
⟨
1
,
2
⟩
and
v
⃗
=
⟨
3
,
−
1
⟩
\vec{v}=\langle 3,-1\rangle
v
=
⟨
3
,
−
1
⟩
, what is
r
⃗
(
4
)
\vec{r}(4)
r
(
4
)
?
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ANSWER
⟨
13
,
−
2
⟩
\langle 13,-2\rangle
⟨
13
,
−
2
⟩
.
⟨
1
,
2
⟩
+
4
⟨
3
,
−
1
⟩
=
⟨
1
+
12
,
2
−
4
⟩
\langle 1,2\rangle+4\langle 3,-1\rangle=\langle 1+12,2-4\rangle
⟨
1
,
2
⟩
+
4
⟨
3
,
−
1
⟩
=
⟨
1
+
12
,
2
−
4
⟩
.
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