CAIE IGCSE Mathematics Extended E7.2 Vectors in Two Dimensions Topic Practice

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Covered syllabus points

E7.2.1 Describe a translation using a vector represented by x y J L KK N P OO,E7.2.2 Add and subtract vectors.E7.2.3 Multiply a vector by a scalar

Question 1

[Maximum number: 1]
Figure for Question 1 — CAIE IGCSE Mathematics Extended

Write AB→\overrightarrow{AB} as a column vector.
AB→=(   )\overrightarrow{AB}=\begin{pmatrix}\ \ \\ \ \end{pmatrix}

Question 2

[Maximum number: 2]

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 3

[Maximum number: 2]
Figure for Question 3 — CAIE IGCSE Mathematics Extended

O is the origin (0,0), A is the point (8,1) and B is the point (2,5).

Question (a)

(a)

Write as column vectors.

[ 2 ]

Question (i)

(i)

O B

O B=(

[ 1 ]

Question (ii)

(ii)

A B

A B=(

[ 1 ]

Question 4

[Maximum number: 1]

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

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

Question 5

[Maximum number: 1]

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

3FG→3\overrightarrow{FG}

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