WorksheetsVector Exam
Total questions: 25
Worksheet time: 1hrs 14mins
Name
Class
Date
1.
Find the component form of AB with initial point A(1, -3) and terminal point B(1, 3)
a)
<2, 0>
b)
<0, 6>
c)
2i
d)
6j
2.
Find the component form of AB with initial point A(0, 8) and terminal point B(-9, -3)
a)
-9i + 5j
b)
-9i - 11j
c)
<-9, -11>
d)
<-9, 5>
3.
a)
The scalar product of v and w
b)
Dot product of v and w
c)
vector v times vector w
d)
V x W
4.
a)
Direction of AB
b)
Distance of vector AB
c)
Vector AB
d)
Magnitude of vector AB
5.
If w = <2, -5> and y = <2, 0>, find 2w + y
a)
<-10, 2>
b)
<4, -5>
c)
<-6, 10>
d)
<6, -10>
6.
If y = <2, 0> and z = <-1, -4>, find 3y - 2z
a)
<5, -8>
b)
<4, 8>
c)
<8, 8>
d)
<-8, -8>
7.
Find the magnitude of AB if the initial point is (-3, 1) and the terminal point is (3, 9)
a)
6
b)
8.2
c)
10
d)
10.4
8.
Is this a scalar quantity or a vector quantity?
Wind blowing at 20 knots
Wind blowing at 20 knots
a)
Scalar
b)
Vector
9.
Is this a scalar quantity or a vector quantity?
A 15-pound tire hanging from a rope
A 15-pound tire hanging from a rope
a)
Scalar
b)
Vector
10.
Is this a scalar quantity or a vector quantity?
A deer running 15 meters per second due west
A deer running 15 meters per second due west
a)
Scalar
b)
Vector
11.
Are these two vectors equivalent? u = <3,6> and v = <-4,2>
a)
Yes
b)
No
c)
How am I suppose to know?
d)
Really, Ms. A... What is this?
12.
Are these two vectors parallel? u = -i - 4j and v = 3i - 2j
a)
Yes
b)
No
c)
Maybe
d)
Huh?
13.
Are these two vectors orthogonal? u = <2,4> and v = <-12,6>
a)
Yes
b)
No
c)
Maybe
d)
How do we do this again?
14.
A quantity that has both magnitude and direction is called a scalar quantity.
a)
True
b)
False
15.
What is the minimum (smallest) resultant possible when adding a 3 unit vector and an 8 unit vector?
a)
24
b)
11
c)
8
d)
5
16.
the magnitude (or length) of u. If necessary, leave as a square root.
a)
√63
b)
3
c)
√65
d)
9
17.
the direction (θ) for vector v. Round to three decimals.
a)
-74.054o
b)
105.945o
c)
-15.945o
d)
164.055o
18.
the angle between vectors u and v. Round to three decimals.
a)
45o
b)
26.231o
c)
156.930o
d)
8.820o
19.
To add two vectors algebraically, add all the numbers in the first vector together. Then add all the numbers in the second vector together.
a)
True
b)
False
20.
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>
21.
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>
22.
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>
23.
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>
24.
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
25.
Find the projection of u=<3,-12> onto v=<9,2>.
a)
<27/85, 6/85>
b)
<85/27, 85/6>
c)
<9/85, -36/85>
d)
<85/9, -85/36>
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