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1.13 J: Vectors

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Question 27

[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 position $(−2i+4j)m(-2\mathbf{i} + 4\mathbf{j})\text{m}$ relative to a fixed origin, $O$ .

The particle moves with velocity $(4i−6j)ms−1(4\mathbf{i} - 6\mathbf{j})\text{ms}^{-1}$

Find the speed of $P$ .

[3]

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

[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

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1.13 J: Vectors

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Question 27

[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 position $(−2i+4j)m(-2\mathbf{i} + 4\mathbf{j})\text{m}$ relative to a fixed origin, $O$ .

The particle moves with velocity $(4i−6j)ms−1(4\mathbf{i} - 6\mathbf{j})\text{ms}^{-1}$

Find the speed of $P$ .

[3]

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

[3]

Markscheme

1.13 J: Vectors Questions

A Level
Maths
1.13 J: Vectors