Course home

1.13 J: Vectors

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70

Question 52

In this question the unit vectors $i\mathbf{i}$ and $j\mathbf{j}$ are due east and due north respectively.

At time $t = 0$ , a particle $P\,$ is at the position $(−2i+4j)(-2\mathbf{i} + 4\mathbf{j})$ m relative to a fixed origin $O$ .

$P\,$ moves with constant velocity $(4i−6j)(4\mathbf{i} - 6\mathbf{j})$ m s $^{-1}$ .

Find the speed of $P$ , giving your answer to 3 significant figures.

[3]

Show that $P\,$ passes through the point $A\,$ with position vector $(8i−11j)(8\mathbf{i} - 11\mathbf{j})$ m.

[3]

Markscheme

1.13 J: Vectors Questions

A Level
Maths
1.13 J: Vectors

168 exam-style questions on AQA A Level Maths 1.13 J: Vectors, covering 1.13.1 Vectors in two and three dimensions, 1.13.2 Magnitude and direction of a vector, 1.13.3 Vector arithmetic, 1.13.4 Position vectors, and 1.13.5 Vectors to solve problems. Each one has a worked solution and a mark scheme showing where the marks go.

1.13 J: Vectors

Question bank

1.13 J: Vectors

Easy Medium Hard

Question 52

In this question the unit vectors $i\mathbf{i}$ and $j\mathbf{j}$ are due east and due north respectively.

At time $t = 0$ , a particle $P\,$ is at the position $(−2i+4j)(-2\mathbf{i} + 4\mathbf{j})$ m relative to a fixed origin $O$ .

$P\,$ moves with constant velocity $(4i−6j)(4\mathbf{i} - 6\mathbf{j})$ m s $^{-1}$ .

Find the speed of $P$ , giving your answer to 3 significant figures.

[3]

Show that $P\,$ passes through the point $A\,$ with position vector $(8i−11j)(8\mathbf{i} - 11\mathbf{j})$ m.

[3]

Markscheme

1.13 J: Vectors Questions

A Level
Maths
1.13 J: Vectors