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1.9 Vectors

Easy Medium Hard

1 2 3 4 5 6 7 8 9

Question 2

$OABC\,$ is a parallelogram, with $OA⃗=a\vec{OA} = \mathbf{a}$ and $OC⃗=c\vec{OC} = \mathbf{c}$ .

$M\,$ is the midpoint of the diagonal $O B$ .

Figure for question 8

a(i).

Find $AC⃗\vec{AC}$ in terms of $a\mathbf{a}$ and $c\mathbf{c}$ .

[1]

a(ii).

Find $OM⃗\vec{OM}$ in terms of $a\mathbf{a}$ and $c\mathbf{c}$ , simplifying your answer.

[2]

Hence prove that the diagonals of a parallelogram bisect one another.

[4]

Markscheme

1.9 Vectors Questions

A Level
Maths
1.9 Vectors

37 exam-style questions on WJEC A Level Maths 1.9 Vectors, covering 1.9.1 Vectors, 1.9.2 Vectors, 1.9.3 Vectors, 1.9.4 Vectors, and 1.9 Vectors. Each one has a worked solution and a mark scheme showing where the marks go.

1.9 Vectors

Question bank

1.9 Vectors

Easy Medium Hard

1 2 3 4 5 6 7 8 9

Question 2

$OABC\,$ is a parallelogram, with $OA⃗=a\vec{OA} = \mathbf{a}$ and $OC⃗=c\vec{OC} = \mathbf{c}$ .

$M\,$ is the midpoint of the diagonal $O B$ .

Figure for question 8

a(i).

Find $AC⃗\vec{AC}$ in terms of $a\mathbf{a}$ and $c\mathbf{c}$ .

[1]

a(ii).

Find $OM⃗\vec{OM}$ in terms of $a\mathbf{a}$ and $c\mathbf{c}$ , simplifying your answer.

[2]

Hence prove that the diagonals of a parallelogram bisect one another.

[4]

Markscheme

1.9 Vectors Questions

A Level
Maths
1.9 Vectors