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

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]

u=(3−2)v=(−125)\mathbf u=\begin{pmatrix}3\\-2\end{pmatrix}\qquad \mathbf v=\begin{pmatrix}-12\\5\end{pmatrix}

Find u-2 v.

Question 3

[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 ]
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