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1.13 J: Vectors

1.13 J: Vectors

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Question 11

In a particle physics experiment, relative to a fixed origin OOO, particle L L\,L is at position (−i+4j+2k)(- \mathbf{i} + 4\mathbf{j} + 2\mathbf{k})(−i+4j+2k), particle M M\,M is at (2i+j+8k)(2\mathbf{i} + \mathbf{j} + 8\mathbf{k})(2i+j+8k), and particle N N\,N is at (3i−3j+6k)(3\mathbf{i} - 3\mathbf{j} + 6\mathbf{k})(3i−3j+6k).

a.

Find the vector MN⃗\vec{MN}MN.

[2]
b.

Show that the quadrilateral OLMN OLMN\,OLMN is a parallelogram, giving reasons for your answer.

[3]
Markscheme

1.13 J: Vectors Questions

  1. A Level
  2. /Maths
  3. /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.

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