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1.13 J: Vectors

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Question 29

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

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

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

a.

Find the speed of PPP.

[3]
b.

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

[3]

1.13 J: Vectors Questions

  1. A Level
  2. /Maths
  3. /1.13 J: Vectors

Practise AQA A Level Maths 1.13 J: Vectors with exam-style questions for A Level Maths. 122 questions 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, matched to the AQA A Level Maths (7357) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

Question bank