High School
SAT
SAT Elite 1500
SAT Tutoring
ACT
ACT Elite 33
ACT Tutoring
University
MCAT
MCAT Elite 515
Med-School Admissions
Pre-Med Tutoring
Pre-Med Plus
LSAT
LSAT Elite 170
LSAT Self-Paced
LSAT Tutoring
DAT
DAT Elite
DAT Tutoring
Log in
Get Started for Free
Find the value of cos 𝜃 where 𝜃 is the acute angle betwee𝑢⃗=(1,−2) an𝑣 = …
Related Topics
Wize University Linear Algebra Textbook > Products of Vectors
Angle Between Vectors
6 Activities
Find the value of cos 𝜃 where 𝜃 is the acute angle between
𝑢
⃗
=
(
1
,
−
2
)
𝑢⃗=(1,−2)
u
⃗
=
(
1
,
−
2
)
and
𝑣
⃗
=
(
3
,
1
)
.
\vec𝑣 = (3,1).
v
=
(
3
,
1
)
.
1
2
\frac{1}{2}
2
1
1
2
3
\frac{1}{2\sqrt{3}}
2
3
1
1
2
5
\frac{1}{\sqrt{2}\sqrt{5}}
2
5
1
1
5
10
\frac{1}{\sqrt{5}\sqrt{10}}
5
10
1
5
5
10
\frac{5}{\sqrt{5}\sqrt{10}}
5
10
5
I don't know
Check Submission
More Angle Between Vectors Questions:
133 - FML 3 - 18.1W e.g. 47
Given
u
⃗
=
<
1
,
0
,
1
>
\bcb{\vec{u} = \left< 1, 0, 1\right>}
u
=
⟨
1
,
0
,
1
⟩
and
v
⃗
=
<
1
,
0
,
0
>
\bcb{\vec{v} = \left< 1, 0, 0\right>}
v
=
⟨
1
,
0
,
0
⟩
, compute the acute angle between
u
⃗
\bcb{\vec{u}}
u
and
v
⃗
\bcb{\vec{v}}
v
.
Consider three vectors
A
⃗
=
2
i
^
+
j
^
,
B
⃗
=
i
^
−
2
j
^
\vec{A}=2\hat{i}+\hat{j},\,\,\vec{B}=\hat{i}-2\hat{j}
A
=
2
i
^
+
j
^
,
B
=
i
^
−
2
j
^
, and
C
⃗
=
−
2
i
^
+
j
^
\vec{C}=-2\hat{i}+\hat{j}
C
=
−
2
i
^
+
j
^
. The angle between
C
⃗
\vec{C}
C
and
A
⃗
×
B
⃗
\vec{A}\times\vec{B}
A
×
B
is?
Additional practice problems--vector products
Additional Practice Problems--Vector Products
1. If
u
⃗
=
(
−
2
,
3
,
−
1
)
,
v
⃗
=
(
−
1
,
−
2
,
3
)
\vec{u}=\left(-2,3,-1\right),\ \ \vec{v}=\left(-1,-2,3\right)
u
=
(
−
2
,
3
,
−
1
)
,
v
=
(
−
1
,
−
2
,
3
)
, find
a)
u
⃗
∙
v
⃗
\vec{u}\ \bullet\ \vec{v}
u
∙
v