Vectors | CIE IGCSE Maths: Core Topic Questions 2023

1a

1 mark

Work out.

$6 (\begin{matrix} 2 \\ - 1 \end{matrix})$

$(\begin{matrix} \end{matrix})$

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1b

1 mark

$(\begin{matrix} 5 \\ - 3 \end{matrix}) - (\begin{matrix} 2 \\ 4 \end{matrix})$

$(\begin{matrix} \end{matrix})$

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1a

1 mark

The diagram shows a line $A B$ on a 1cm² grid.

qp2-0580-33-paper-3-may-2020-cie-igcse-maths

Write down the coordinates of point $A$ .

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1b

1 mark

Write down the vector $\vec{A B}$ .

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1c

1 mark

$\vec{B C} = (\begin{matrix} - 2 \\ 5 \end{matrix})$

Mark point C on the grid.

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1d

2 marks

i)

Work out

\vec{A B} + \vec{B C}

.

[1]

ii)

Complete this statement.

\vec{A B} + \vec{B C} = \vec{. . . . . . . . . . .}

[1]

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1e

2 marks

$A, B$ and $C$ are three vertices of a parallelogram, $A B C D$ .

i)

Mark point

D

on the diagram and draw the parallelogram

A B C D

.

[1]

ii)

Work out the area of the parallelogram.
Give the units of your answer.

[2]

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1

3 marks

$a = (\begin{matrix} 3 \\ - 2 \end{matrix})$ $b = (\begin{matrix} 5 \\ 7 \end{matrix})$ $c = (\begin{matrix} - 1 \\ 4 \end{matrix})$

Work out.

i)

a + b

[1]

ii)

b - 2 c

[2]

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