Vectors | Edexcel IGCSE Maths Topic Questions 2022

1a

1 mark

q1a-hard-4-13-vectors-edexcel-gcse-maths

$A P B$ is a triangle.
$N$ is a point on $A P$ .

$\vec{A B} = a \vec{A N} = 2 b \vec{N P} = b$

Find the vector $\vec{P B}$ , in terms of $a$ and $b$ .

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1b

4 marks

$B$ is the midpoint of $A C$ .
$M$ is the midpoint of $P B$ .

Show that $N M C$ is a straight line.

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1a

1 mark

The vector $a$ and the vector $b$ are shown on the grid.

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On the grid, draw and label vector $- 2 a$

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1b

2 marks

Work out $a + 2 b$ as a column vector.

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1a

3 marks

$O A C B$ is a parallelogram.

q1a-vhard-4-13-vectors-edexcel-gcse-maths

$\vec{O A} = a and \vec{O B} = b$

$D$ is the point such that $\vec{A C} = \vec{C D}$
The point $N$ divides $A B$ in the ratio $2 : 1$

Write an expression for $\vec{O N}$ in terms of $a$ and $b$ .

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1b

3 marks

Prove that $O N D$ is a straight line.

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