3.13 Vectors | CIE IGCSE Maths: Extended Topic Questions 2023

1

3 marks

cie-igcse-2020-may-jun-p4-tz2-q2d

In the diagram, $O$ is the origin, $O T = 2 T D$ and $M$ is the midpoint of $T C$ .
$\vec{O C} = c$ and $\vec{O D} = d$ .

Find the position vector of $M$ .
Give your answer in terms of $c$ and $d$ in its simplest form.

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1

6 marks

$\vec{A B} = (6 - 1)$ $\vec{B C} = (- 2 5)$ $\vec{D C} = (2 - 3)$

Find

i)

\vec{A C}

,

\vec{A C} = ()

[2]

ii)

\vec{B D}

,

\vec{B D} = ()

[2]

iii)

|\vec{B C}|

.

[2]

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1

6 marks

cie-igcse-2020-oct-nov-p4-tz3-q8b

In the diagram, $O A B$ and $O E D$ are straight lines.
$O$ is the origin, $A$ is the midpoint of $O B$ and $E$ is the midpoint of $A C$ .
$\vec{A C} = a$ and $\vec{C B} = b$ .

Find, in terms of $a$ and $b$ , in its simplest form

i)

\vec{A B}

,

\vec{A B} =

................................................ [1]

ii)

\vec{O E}

,

\vec{O E} =

................................................ [2]

iii)

the position vector of

D

.

[3]

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Vectors (CIE IGCSE Maths: Extended)

Topic Questions