wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Intro to Vectors ( magnitud, direction, components)

Total questions: 53

Worksheet time: 1hrs 16mins

Name
Class
Date
1.

A vector is a ray with both ____________ and _____________.

a)

Wings and halos

b)

Space and time

c)

Direction and magnitude

d)

Radicals and exponents

2.

Find the magnitude.

a)

0

b)

5

c)

-5

d)

4

3.

Find the magnitude (Dadas las componentes del vector)

a)

5

b)

3

c)

25

d)

-4

4.

Find the magnitude.

a)

4

b)

5

c)

3

d)

square root of 5

5.

Write in component form.

a)

<0, 4>

b)

<8, 2>

c)

<2, 8>

d)

<0, 2>

6.

Determine the magnitude of the vector <8, -2>

a)

2√3

b)

2√17

c)

2√15

d)

2√5

7.
If a car moves 12 km North, 19 km East, and 12 km South, what is its displacement?
a)
12 km
b)
19 km, East
c)
31 km
d)
43 km, East
8.

You slowly walked 10 km West and then quickly ran 10 km North. During each part of the journey, the ______________ was the same.

a)

displacement

b)

distance

c)

time

d)

velocity

9.

Find the direction of the vector <-3, -5>.

a)

59.03°

b)

239.03°

c)

280º

d)

120.96°

10.
Find the magnitude of the vector <2, -3>.
a)
√11
b)
13
c)
√-4
d)
√13
11.
Determine the direction and magnitude of the vector 〈7,18〉
a)
Direction 21.3°
Magnitude 19.3
b)
Direction 68.7°
Magnitude 19.3
c)
Direction 21.3°
Magnitude 373
d)
Direction 68.7°
Magnitude 373
12.
A vector is a mathematical structure that has both _______ and _______.
a)
direction, magnitude
b)
scope, sequence
c)
meat, potatoes
d)
scalar, vector
13.

Write in component form.

a)

<0, 4>

b)

<8, 2>

c)

<2, 8>

d)

<0, 2>

14.
Find the magnitude of vector 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
15.
Find the component form of a vector whose initial point is (5, 7) and terminal point is (1, 10)
a)
<-4, 3>
b)
<4, -3>
c)
5
d)
<6, 17>
16.

An Arrow with a Magnitude and Direction

a)

Scalar

b)

Vector

c)

Refractor

d)

Tip to Tail

17.

Velocity is an example of a

a)

Vector

b)

Scalar

18.

The Amount or Value

a)

Direction

b)

Magnitude

c)

Resultant

d)

Vector

19.

Time is an example of a

a)

Vector

b)

Scalar

20.

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

a)

4

b)

5

c)

3

d)

square root of 5

21.

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

22.
Mass
a)
Vector
b)
Scalar
23.
Volume
a)
Vector
b)
Scalar
24.
Force
a)
Vector
b)
Scalar
25.
A quantity that has both magnitude and direction is called a scalar quantity.
a)
True
b)
False
26.

17 m/s, East

a)

Vector

b)

Scalar

27.

10 mph

a)

scalar

b)

vector

28.
A hiker walks 5 kilometers due north and then 7 kilometers due east. What is the magnitude of the resultant vector?
a)
2 km
b)
8.6 km
c)
12 km
d)
12.6 km
29.
Which side is adjacent to the 400 angle?
a)
AB
b)
AC
c)
BC
30.
Which of the following quantities are vectors?
a)
speed, velocity, acceleration
b)
velocity, acceleration, force
c)
force, acceleration, mass
d)
length, mass, time
31.

The magnitude of the resultant is equal to......

a)

2500m

b)

800m

c)

50m

d)

70m

32.
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
33.
a)
17
b)
149
c)
3
d)
12.2
34.

A tennis ball is dropped from a person's hand while walking. From the person's perspective, the ball appears to fall...

a)

forward

b)

backward

c)

straight down

d)

it doesn't fall

35.

A passenger sitting on a bus moving East sees a man standing on a curb. From the passenger’s perspective, the man appears to move _______ at a speed that is _______ the bus’s speed.

a)

East; equal

b)

West; equal

c)

East; greater than

d)

West; less than

36.

Vector is a quantity with:

a)

magnitude and direction

b)

magnitude

c)

direction

d)

none of the above

37.
a)

OB + BC = OC

b)

OA + AC = OC

c)

CB + B0 = -OC

d)

OD = 0.5(OA + AC)

38.

A vector represents:

a)

physical quantities

b)

scalar quantities

c)

vector quantities

d)

the three previous answers

39.

These kinds of quantities have only magnitute

a)

physical quantities

b)

vector quantities

c)

scalar quantities

d)

vecorial quantities

40.

It's an example of scalar quantity (Ojo a esta respuesta)

a)

Momentum

b)

Weight

c)

Energy

d)

Acceleration

41.

It's an example of vector quantity

a)

Work

b)

Force

c)

Energy

d)

Power

42.

A vector has...

a)

two components (x and y)

b)

one component (y)

c)

one component (x)

d)

length and degrees

43.

Given vector u=<4,5>u=<4,5>  find  2u2u  

a)

 <8,10><8,10>  

b)

 <2,52><2,\frac{5}{2}>  

c)

 <6,7><6,7>  

d)

 <8,5><8,5>  

44.

Given the vector u, give the vertical and horizontal components.

a)

<3,4><3,4>

b)

<4,3><4,3>

c)

<3.5,4.5><3.5,4.5>

d)

Cannot be determined

45.
A car travels 90 meters due north in 15 seconds. Then the car turns around and travels 40 meters due south.  What is the magnitude and direction  of the car's resultant displacement?  
a)
40 metres, South
b)
50 metres, South
c)
50 metres, North
d)
40 metres, North 
46.
Which statement describes a vector?
a)
It has magnitude but no direction
b)
It has direction but no magnitude
c)
It has both direction and magnitude
d)
It has constant magnitude but no
 direction
47.

Is this a scalar quantity or a vector quantity?

Wind blowing at 20 knots ( nudos)

a)

Scalar

b)

Vector

48.
How do you combine vectors if they are at a right angle to each other, and you know two sides?
a)
Multiply
b)
Divide
c)
Pythagorean Theorem
d)
Use trigonometry
49.
What direction is the angle?
a)
east of north
b)
south of east
c)
north of east
d)
west of east
50.
A vector has both ____ and _____
a)
speed and length
b)
magnitude and direction
c)
degrees and radians
d)
style and grace
51.
Which of these is not a vector quantity? 
a)
displacement 
b)
time
c)
velocity 
d)
acceleration
52.

Which of the following are vectors? (Select all that apply)

a)

Distance

b)

Displacement

c)

Time

d)

Speed

e)

velocity

53.

What is the magnitude of the displacement if someone walks 10 km east and then 7 km north?

a)

17 km

b)

3 km

c)

4 km

d)

12.2 km

e)

13.6

Similar Resources on Wayground

Advanced Algebra Placement Test

50 questions

Advanced Algebra Placement Test

quiz

Worksheet

•

8th - 11th Grade

Polygons, Quadrilaterals and Right Triangles

54 questions

Polygons, Quadrilaterals and Right Triangles

quiz

Worksheet

•

9th - 12th Grade

Trig TEST

48 questions

Trig TEST

quiz

Worksheet

•

10th - 12th Grade

Padepokan Lereng Semeru

50 questions

Padepokan Lereng Semeru

quiz

Worksheet

•

10th Grade

Quiz & Exam Prep

51 questions

Quiz & Exam Prep

quiz

Worksheet

•

11th Grade

Finals Review

54 questions

Finals Review

quiz

Worksheet

•

10th Grade

1st Semester Final Review: Units 1, 2

49 questions

1st Semester Final Review: Units 1, 2

quiz

Worksheet

•

11th Grade

EOC Review

52 questions

EOC Review

quiz

Worksheet

•

8th - 10th Grade