WorksheetsAngle Between the Vectors
Total questions: 8
Worksheet time: 28mins
Name
Class
Date
1.
Find the angle between the vectors
a)
142.13°
b)
48.23°
c)
261.24°
d)
315.48°
2.
Find the angle between the vectors
a)
142.13°
b)
23.48°
c)
132.88°
d)
359.78°
3.
Find the angle between u and v.
a)
78.930o
b)
33.691o
c)
101.070o
d)
146.310o
4.
Find the unit vector in the same direction as v.
a)
<0.385, 0.923>
b)
<-0.832, 0.555>
c)
<5/13, 12/13>
d)
<-5/13, -12/13>
5.
Find the angle between v and w
a)
21.8 degrees
b)
111.8 degrees
c)
68.2 degrees
6.
Find cos ϴ (the ratio), where ϴ is the angle between vectors a = i + j and b = -2i + 3j.
a)
1 ∕ √22
b)
1 ∕ √24
c)
1 ∕ √26
d)
1 ∕ √28
7.
Given u = <3, 7> and v =<-5, 4>, find 2v - 3u
a)
<21, 2>
b)
<-19, -13>
c)
<-15, 3>
d)
23
8.
Find the dot product if ||v||= 8, ||w||=6 and the angle between them is θ = 240˚
a)
-24
b)
24
c)
48
d)
-48
100 %
