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WorksheetsIntroduction to Vectors
Total questions: 12
Worksheet time: 49mins
Name
Class
Date
1.
the magnitude (or length) of u. If necessary, leave as a square root.
a)
√63
b)
3
c)
√65
d)
9
2.
the direction (θ) for vector v. Round to three decimals.
a)
-74.054o
b)
105.945o
c)
-15.945o
d)
164.055o
3.
the angle between vectors u and v. Round to three decimals.
a)
45o
b)
26.231o
c)
156.930o
d)
8.820o
4.
3u-4v
a)
<5, -4>
b)
<2,56>
c)
<-3,32>
d)
<11,-4>
5.
|u|, the magnitude of u. Round to three decimal places, if necessary.
a)
13
b)
8.944
c)
8
d)
14.422
6.
|v|, the magnitude of v. Round to three decimals, if necessary.
a)
8
b)
13
c)
14.422
d)
8.944
7.
Find the angle between u and v.
a)
78.930o
b)
33.691o
c)
101.070o
d)
146.310o
8.
Find the component form of the vector. Round to three decimals.
a)
<16.116, 7.798>
b)
<16.298, 7.335>
c)
<16.892, 7.530>
d)
<16.314, 7.607>
9.
Find the component form of the vector. Round to three decimals.
a)
<11.468, 8.030>
b)
<8.030, 11.468>
c)
<8.934, 11.873>
d)
<11.873, 8.934>
10.
An airplane is flying on a bearing of 340o at 355 mph. A wind is blowing with the bearing of 115o at 40 mph. Find the component form of the resultant vector (p + W). Round to three decimal places.
a)
<-85.165, 316.686>
b)
<316.686, -85.165>
c)
<-316.686, -85.165>
d)
<-89.543, 309.289>
11.
If you have the points A(-4,7) and B(-10,23), find the vector AB.
a)
<-6,16>
b)
<16,-6>
c)
<-14,30>
d)
<30,-14>
12.
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>
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