 # Vectors as Letters

In this worksheet, students must use letter notation to answer questions on vectors. Key stage:  KS 4

Curriculum topic:  Geometry and Measures

Difficulty level:   ### QUESTION 1 of 10

Look at the following vector diagram.  To get from C to A you can either do a backwards q or an s followed by a backwards p.  q + r

q - r

p - s  q + r

p

q + r + s  q + r

- q - r

s - p  q - p

- p + q

-s - r

ABCD is a parallelogram.  p

q

p + q

ABCD is a parallelogram.  q - p

- p + q

p + q

ABCD is a parallelogram.  q - p

- p + q

p + q

ABCD is a parallelogram.  q - p

- p - q

-q - p  r - s

t + u

t - u  s

r + u + t

r - u - t

r + u - t

u - t + r

• Question 1  q + r
p - s
EDDIE SAYS
q followed by r
p followed by a backwards s
• Question 2  p
q + r + s
EDDIE SAYS
p
q followed by r followed by s
• Question 3  - q - r
s - p
EDDIE SAYS
A backwards q followed by a backwards r
s followed by a backwards p
• Question 4  q - p
- p + q
-s - r
EDDIE SAYS
A backwards p followed by q (order doesn't matter)
A backwards p followed by q
A backwards s followed by a backwards r
• Question 5

ABCD is a parallelogram.  q
EDDIE SAYS
This is simply the same as going from A to D as ABCD is a parallelogram.
• Question 6

ABCD is a parallelogram.  p + q
EDDIE SAYS
p followed by q
• Question 7

ABCD is a parallelogram.  q - p
- p + q
EDDIE SAYS
q followed by a backwards p
A backwards p followed by q
• Question 8

ABCD is a parallelogram.  - p - q
-q - p
EDDIE SAYS
A backwards p followed by a backwards q
A backwards q followed by a backwards p
• Question 9  r - s
t - u
EDDIE SAYS
A backwards s followed by an r
t followed by a backwards u
• Question 10  s
r + u - t
u - t + r
EDDIE SAYS
Simply s
r followed by u followed by a backwards t
The last option is the same but in a different order.
---- OR ----

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