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Vectors as Letters

In this worksheet, students must use letter notation to answer questions on vectors.

'Vectors as Letters' worksheet

Key stage:  KS 4

Curriculum topic:  Geometry and Measures

Curriculum subtopic:  Apply Addition, Subtraction, Multiplication and Diagrammatic Representation of Vectors

Difficulty level:  

down

Worksheet Overview

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

CORRECT ANSWER
q + r
p - s
EDDIE SAYS
q followed by r
p followed by a backwards s
  • Question 2

CORRECT ANSWER
p
q + r + s
EDDIE SAYS
p
q followed by r followed by s
  • Question 3

CORRECT ANSWER
- q - r
s - p
EDDIE SAYS
A backwards q followed by a backwards r
s followed by a backwards p
  • Question 4

CORRECT ANSWER
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.

CORRECT ANSWER
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.

CORRECT ANSWER
p + q
EDDIE SAYS
p followed by q
  • Question 7

ABCD is a parallelogram.

CORRECT ANSWER
q - p
- p + q
EDDIE SAYS
q followed by a backwards p
A backwards p followed by q
  • Question 8

ABCD is a parallelogram.

CORRECT ANSWER
- p - q
-q - p
EDDIE SAYS
A backwards p followed by a backwards q
A backwards q followed by a backwards p
  • Question 9

CORRECT ANSWER
r - s
t - u
EDDIE SAYS
A backwards s followed by an r
t followed by a backwards u
  • Question 10

CORRECT ANSWER
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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