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9th Vectors

Total questions: 20

Worksheet time: 48mins

Name
Class
Date
1.
A vector is a mathematical structure that has both _______ and _______.
a)
direction, magnitude
b)
scope, sequence
c)
meat, potatoes
d)
scalar, vector
2.

What is the sum of multiple vectors called?

a)

Scalar

b)

Vector Combination

c)

Resultant Vector

d)

Force

3.
Find the magnitude of the vector <5, 5>
a)
0
b)
10
c)
25
d)
7.07
4.
Find the magnitude of the vector <2, -3>.
a)
√11
b)
13
c)
√-4
d)
√13
5.
Given u = <3, 7> and v =<-5, 4>, find 2v - 3u
a)
<21, 2>
b)
<-19, -13>
c)
<-15, 3>
d)
23
6.
Find the unit vector in the direction of <4, -3>
a)
<⅘, -⅗>
b)
<0.57, -0.43>
c)
<1, -1>
d)
7.

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

a)

4

b)

5

c)

3

d)

square root of 5

8.

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

9.

Write the vector from A to D...

a)

a + b

b)

-a + b

c)

b - a

d)

a - b

10.

Write the vector from C to B...

a)

a + b

b)

-a + b

c)

b + a

d)

a - b

11.

Write the vector from D to B...

a)

y - z

b)

-x + y

c)

-x - z

d)

-y - z

12.

Write the vector from B to C...

a)

r + s

b)

-r + s

c)

s + r

d)

-s - r

13.

Find the magnitude of the vector a

a)

4

b)

4.24

c)

8.2

d)

9.42

14.
What is the total displacement of the object represented in this motion graph?
a)
0 meters
b)
20 meters
c)
30 meters
d)
60 meters
15.
What is the total distance of the object represented in this motion graph? 
a)
50 meters
b)
- 50 meters
c)
150 meters
d)
100 meters
16.
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
17.

Which are equivalent vectors?

a)

u and -u

b)

u and a

c)

u and v

d)

u and b

18.

Given an initial point R ( -12, 4 ) and terminal point S ( 28, -17 ), find the component form of the vector RS. Hint: get it into the pointy brackets.

a)

〈14,-13〉

b)

〈-14,13〉

c)

〈-40,-21〉

d)

〈40,-21〉

19.
Given an initial point A ( 2, 4 ) and terminal point B ( -8, 7 ), find the component form of the vector AB.
a)
〈-10,3〉
b)
〈-6,3〉
c)
〈10,11〉
d)
〈-6,-3〉
20.
a)

a

b)

b

c)

2a

d)

-a