Solving Problems with Vectors and Velocity
Precalculus · Flashcards
PRECALCULUS · FLASHCARDS
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QUESTION
What is the unit vector in the direction of
v
⃗
\vec{v}
v
(assuming
v
⃗
≠
0
⃗
\vec{v}\neq\vec{0}
v
=
0
)?
QUESTION
What is the formula for the projection of
v
⃗
\vec{v}
v
onto
u
⃗
\vec{u}
u
(vector projection)?
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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