CAIE IGCSE Mathematics Extended 7 Transformations and Vectors Topic Practice

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Question 1

[Maximum number: 7]

Question (a)

(a)

A is the point (3,7) and B is the point (-1,5).

[ 3 ]

Question (i)

(i)

Write AB→\overrightarrow{A B} as a column vector.

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[ 1 ]

Question (ii)

(ii)

AC→=3BA→\overrightarrow{A C}=3 \overrightarrow{B A}

Find the coordinates of C.

[ 2 ]

Question (b)

(b)
Figure for Question (b) — CAIE IGCSE Mathematics Extended
[ 4 ]

Question (i)

(i)

Rotate shape P through 180∘180^{\circ} about the point (4,1).

[ 2 ]

Question (ii)

(ii)

Reflect shape P in the line y=x+2.

[ 2 ]

Question 2

[Maximum number: 5]

F is the point (1,-4), FG→=(8−3)\overrightarrow{FG}=\binom{8}{-3} and GH→=(−1235)\overrightarrow{GH}=\binom{-12}{35}.
Find

Question (a)

(a)

3FG→3\overrightarrow{FG}

[ 1 ]

Question (b)

(b)

FG→+GH→\overrightarrow{F G}+\overrightarrow{G H}

[ 1 ]

Question (c)

(c)

the coordinates of the point G

[ 1 ]

Question (d)

(d)

the magnitude of vector GH→\overrightarrow{G H}.

[ 2 ]
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