IGCSE Vectors

IGCSE Vectors

LO: To understand what a vector is

Be able to add and subtract vectors

Be able to identify parallel vectors

Multiple Choice

Which vector describes the translation from blue to red?

Multiple Choice

Which vector describes the translation from red to blue?

Multiple Choice

Which diagram represents the vector 
$$\lceil2\rceil$$  

$$\lceil2\rceil$$   

Multiple Choice

Which diagram represents the vector 
$$\lceil2\rceil$$  

$$\lceil4\rceil$$   

Multiple Choice

Which diagram represents the vector 
$$\lceil2\rceil$$  

$$\lceil-2\rceil$$   

Multiple Choice

Which diagram represents the vector 
$$\lceil2\rceil$$  

$$\lceil\ \ \ 1\rceil$$   

Open Ended

What is the difference between speed and velocity?

Vectors....

describe both MAGNITUDE (length) and DIRECTION

Vectors...

are pathways!

Multiple Choice

What pathway takes me from D to C?

• b+c

• m+m

• d+c

• e+m

Multiple Select

Which pathways takes me from A to C? (pick 3)

• b+c

• m+m

• 2m

• e+m

Multiple Choice

What vector represents DA?

• c

• -c

• d

• -d

Multiple Choice

What vector represents BA?

• b

• -c

• -a

• -b

Multiple Choice

Which vector represents AD?

• $$\lceil8\rceil$$  
  $$\lfloor0\rfloor$$  
  

• $$\lceil0\rceil$$  

  $$\lfloor8\rfloor$$  
  

• $$\lceil8\rceil$$  
  

  $$\lfloor8\rfloor$$  
  

• $$\lceil-8\rceil$$  

  $$\lfloor\ \ \ 0\rfloor$$  
  

Multiple Choice

Which vector represents DM?

• $$\lceil2\rceil$$  
  $$\lfloor5\rfloor$$  
  

• $$\lceil-2\rceil$$  

  $$\lfloor-5\rfloor$$  
  

• $$\lceil-2\rceil$$  
  

  $$\lfloor\ \ \ 5\rfloor$$  
  

• $$\lceil\ \ \ 2\rceil$$  

  $$\lfloor-5\rfloor$$  
  

Parallel Vectors

AD is parallel to BC

They share the same vector! 'c'

Multiple Choice

What is DE? (simplify)

• $$\frac{1}{3}\left(-3b+12a\right)$$

• $$\frac{1}{3}\left(12a-3b\right)$$

• $$-b+4a$$

• $$\frac{1}{3}ab$$