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scalar and vector quantities

Total questions: 27

Worksheet time: 27mins

Name
Class
Date
1.

Which one of these does not show an example of Tip to Tail method?

a)
b)
c)
d)
2.

Find the magnitude of this vector (each square is 1 unit long)

a)

4

b)

5

c)

3

d)

square root of 5

3.

If a car moves 12 miles North, 19 miles East, and 12 miles South, what is its displacement?

a)

12 miles

b)

19 miles, East

c)

31 miles

d)

43 miles, East

4.
Find the direction and magnitude of the resultant vector for the drawing of two forces.
a)
Direction 90°
Magnitude 139.0N
b)
Direction 52.3°
Magnitude 195N
c)
Direction 52.3°
Magnitude 139.0N
d)
Direction 37.7°
Magnitude 139.0N
5.
George Washington throws a baseball with an initial velocity of 20.2 feet per second at an angle of 69° with the horizontal.  Find the initial vertical and horizontal velocity of the ball.
a)
Horizontal 18.9
 Vertical 7.2
b)
Horizontal 7.2
 Vertical 18.9
c)
Horizontal 15.2
 Vertical 9.6
d)
Horizontal 9.6
 Vertical 15.2
6.
A car moved 60 km East and 90 km West. What is the displacement and the direction?
a)
30 km, West
b)
60 km. East
c)
90 km
d)
150 km
7.
What is the value of d? Round to the nearest tenth of a meter. 
a)
18.9 m
b)
19.5 m
c)
47 m
d)
27.5 m
8.
Find the value of x. Round to the nearest tenth. 
a)
12.2
b)
14.6
c)
16
d)
15.4
9.
Given the magnitude & direction of the resultant, find the horizontal & vertical components.
a)
Horizontal 63.9
 Vertical 44.7
b)
Horizontal 7.3
 Vertical 34.2
c)
Horizontal -63.9
 Vertical 44.7
d)
Horizontal -7.3
 Vertical 34.2
10.
Choose the correct ratio.
a)
cos(33)=x/14
b)
sin(33)=x/14
c)
cos(33)=14/x
d)
sin(33)=14/x
11.

Vector A is directed northward and vector B is directed eastward. Which of the following vector addition diagrams best represent the addition of vectors A and B and the subsequent resultant?

a)

A

b)

B

c)

C

d)

D

e)

E

12.

The vector sum (magnitude only) of 25.0 m, north + 18.0 m, East is ___ m.

a)

43.0

b)

6.0

c)

30.8

d)

949

13.

An airplane moves at 141 km/h toward the northeast (45 degrees). What is its component velocity in the northward direction?

a)

41 km/h

b)

100 km/h

c)

110 km/h

d)

141 km/h

14.

A vector is a ray with both ____________ and _____________.

a)

Wings and halos

b)

Space and time

c)

Direction and magnitude

d)

Radicals and exponents

15.

If the dot product of two vectors is equal to zero, then what do we know about the two vectors?

a)

They are parallel.

b)

They are perpendicular.

c)

They are unit vectors.

d)

They are both zero vectors.

16.

The cross product of vectors A and B is

a)

parallel to either A or B

b)

parallel to both A and B

c)

perpendicular to either A or B

d)

perpendicular to both A and B

17.

Scott travels north 5 miles and then goes west 3 miles before coming straight back south 2 miles. What is his DISTANCE?

a)

10 mi

b)

7 mi

c)

8 mi

d)

6 mi

18.

Jasmine runs exactly 3 laps around a 400 meter track. What is the DISPLACEMENT?

a)

800 m

b)

400 m

c)

0 m

d)

1200 m

19.
What is the net force?
100 N        230 N
<------        --------->
a)
30 N to the right
b)
230 N to the right
c)
130 N to the right
d)
This is a balanced force
20.
What is the x component of the vector given in the diagram?
a)
77N
b)
92N
c)
120N
d)
60N
21.

u is a vector of magnitude 2 and v is a vector of magnitude 3, and the angle between them is 450. What is u . v

a)

6.2

b)

4.2

c)

5.2

22.


If ||v||= 8, ||w||=6 and the angle between them is θ = 240˚ Find   v.  wFind\ \overrightarrow{\ \ v}.\overrightarrow{\ \ w}  

a)

-24

b)

24

c)

48

d)

-48

23.
What direction is AxB?
a)
Into screen
b)
Out of screen
c)
Down
d)
Zero
24.
What direction is torque?
a)
Into screen
b)
Out of screen
c)
Down and to the right
d)
Down and to the left
25.
What direction is torque?
a)
Into the page
b)
Out of the page
c)
Up
d)
Down
26.
A and AxB are shown.  
What direction is B?
a)
Into screen
b)
Out of screen
c)
Up
d)
Down
27.
What type of quantity is produced by the dot product of two vectors?
a)
scalar
b)
vector