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Senior 4 Maths test Vectors

Total questions: 15

Worksheet time: 1hrs 26mins

Name
Class
Date
1.

Write the vector from A to B...

a)

a

b)

-a

c)

b

d)

-b

2.

Write the vector from C to A...

a)

a

b)

-a

c)

b

d)

-b

3.

Write the vector from B to D...

a)

a

b)

-a

c)

b

d)

-b

4.

Write the vector from A to D...

a)

a + b

b)

-a + b

c)

b - a

d)

a - b

5.

Write the vector from C to B...

a)

a + b

b)

-a + b

c)

b + a

d)

a - b

6.

Write the vector from C to B...

a)

y

b)

-y

c)

z

d)

-z

7.

Write the vector from A to C...

a)

x + z

b)

x + y

c)

x - z

d)

x - y

8.

Write the vector from B to C...

a)

r + s

b)

-r + s

c)

s + r

d)

-s - r

9.
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
10.
a)

2a+4c2a+4c

b)

4a+2c4a+2c

c)

4c4a4c-4a

d)

4c+4a4c+4a

11.

 LM\overrightarrow{LM}  

a)

 a+ba+b  

b)

 aba-b  

c)

 a+b-a+b  

d)

 b+2cab+2c-a  

12.

When adding two vectors graphically, a+b=c. Does b+a produce the same resultant vector c?

a)

Yes, two vectors added together always produce the same resultant vector

b)

No, because order matters

c)

Yes, but c will be pointing in the opposite direction

d)

No, because you can't add two vectors

13.

When subtracting two vectors, a-b=c. Does b-a produce the same resultant vector c?

a)

Yes, two vectors subtracted together always produce the same resultant vector

b)

No, because order matters

c)

Yes, but c will be pointing in the opposite direction

d)

No, because you can't subtract two vectors

14.

Express OQ in terms of a and b

(a)  

15.

Express BP in terms of a and b

(a)