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Worksheets

Year 11 IGCSE Vectors

Total questions: 15

Worksheet time: 15mins

Name
Class
Date
1.

What is the column vector of b

a)

⌈5⌉\lceil5\rceil
⌊1⌋\lfloor1\rfloor

b)

⌈1⌉\lceil1\rceil
⌊5⌋\lfloor5\rfloor

c)

⌈−5⌉\lceil-5\rceil
⌊−1⌋\lfloor-1\rfloor

d)

⌈5⌉\lceil5\rceil
⌊−1⌋\lfloor-1\rfloor

2.

What is the column vector of g

a)

 ⌈3⌉\lceil3\rceil  
 \lfloor3\rfloor  

b)

 ⌈0⌉\lceil0\rceil 
 ⌊3⌋\lfloor3\rfloor 

c)

 ⌈−3⌉\lceil-3\rceil 
 ⌊0⌋\lfloor0\rfloor 

d)

 ⌈0⌉\lceil0\rceil 
 ⌊−3⌋\lfloor-3\rfloor 

3.

What is the column vector of c

a)

 ⌈3⌉\lceil3\rceil  
 \lfloor3\rfloor  

b)

 ⌈2⌉\lceil2\rceil 
 ⌊−3⌋\lfloor-3\rfloor 

c)

 ⌈−3⌉\lceil-3\rceil 
 ⌊2⌋\lfloor2\rfloor 

d)

 ⌈3⌉\lceil3\rceil 
 ⌊−3⌋\lfloor-3\rfloor 

4.

What is the vector  AD→\overrightarrow{AD}  

a)

a+b

b)

-a+b

c)

-a-b

d)

a-b

5.

What is the vector  XZ→\overrightarrow{XZ}  

a)

-a-b

b)

-b+a

c)

b-a

d)

a-b

6.

What is the vector  NK→\overrightarrow{NK}  

a)

3a-b-a

b)

3a-b

c)

4a+b

d)

2a-b

7.

What is the vector  CB→\overrightarrow{CB}  

a)

-a-b

b)

-a+b

c)

b

d)

-b

8.

What is the vector  OX→\overrightarrow{OX}  

a)

 15a+45b\frac{1}{5}a+\frac{4}{5}b  

b)

 45a+15b\frac{4}{5}a+\frac{1}{5}b  

c)

 14a+34b\frac{1}{4}a+\frac{3}{4}b  

d)

 34a+14b\frac{3}{4}a+\frac{1}{4}b  

9.

What is the vector  YO→\overrightarrow{YO}  

a)

 23a+13b\frac{2}{3}a+\frac{1}{3}b  

b)

 −13a−23b-\frac{1}{3}a-\frac{2}{3}b  

c)

 −23a−13b-\frac{2}{3}a-\frac{1}{3}b  

d)

 −12a−12b-\frac{1}{2}a-\frac{1}{2}b  

10.

What is the vector  AY→\overrightarrow{AY}  

a)

 13(a+13b)\frac{1}{3}\left(a+\frac{1}{3}b\right)  

b)

 −13a+23b-\frac{1}{3}a+\frac{2}{3}b  

c)

 −13(a−b)-\frac{1}{3}\left(a-b\right)  

d)

 −13(a+b)-\frac{1}{3}\left(a+b\right)  

11.

What is the vector  BS→\overrightarrow{BS}  

a)

 −14𝒂+35𝒃-\frac{1}{4}𝒂+\frac{3}{5}𝒃  

b)

 720𝒂\frac{7}{20}𝒂  

c)

 14𝒂\frac{1}{4}𝒂  

d)

 35𝒃\frac{3}{5}𝒃  

12.

What is the vector  RS→\overrightarrow{RS}  

a)

 −14𝒂+35𝒃-\frac{1}{4}𝒂+\frac{3}{5}𝒃  

b)

 720𝒂+35𝒃\frac{7}{20}𝒂+\frac{3}{5}𝒃  

c)

 14𝒂+𝒃\frac{1}{4}𝒂+𝒃  

d)

 −720𝒂+35𝒃-\frac{7}{20}𝒂+\frac{3}{5}𝒃  

13.

What is the vector  OT→\overrightarrow{OT}  

a)

 56(a+2b)\frac{5}{6}\left(a+2b\right)  

b)

 16(a+2b)\frac{1}{6}\left(a+2b\right)  

c)

 5(a+2b)5\left(a+2b\right)  

d)

 65(a+2b)\frac{6}{5}\left(a+2b\right)  

14.

What are the vectors of  AB→\overrightarrow{AB}  and  MN→\overrightarrow{MN}  

a)

 AB→=−m+n\overrightarrow{AB}=-m+n   MN→=2(−m+n)\overrightarrow{MN}=2\left(-m+n\right)  

b)

 AB→=−2m+n\overrightarrow{AB}=-2m+n   MN→=2(−2m+n)\overrightarrow{MN}=2\left(-2m+n\right)  

c)

 AB→=2(−m+n)\overrightarrow{AB}=2\left(-m+n\right)   MN→=−m+n\overrightarrow{MN}=-m+n  

d)

 MN→=−2m+n\overrightarrow{MN}=-2m+n   AB→=2(−2m+n)\overrightarrow{AB}=2\left(-2m+n\right)  

15.

What is the vector  AD→\overrightarrow{AD}  

a)

-2(a+b)

b)

2(a+b)

c)

-2(-a-b)

d)

2(a-b)