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Question 125

Relative to a fixed origin OOO, the point A A\,A has position vector (2i−j−k)(2\mathbf{i} - \mathbf{j} - \mathbf{k})(2i−j−k), the point B B\,B has position vector (3i+j−2k)(3\mathbf{i} + \mathbf{j} - 2\mathbf{k})(3i+j−2k), and the point C C\,C has position vector (2i+4j−2k)(2\mathbf{i} + 4\mathbf{j} - 2\mathbf{k})(2i+4j−2k).

a.

Find AB⃗\vec{AB}AB

[2]
b.

Show that the quadrilateral OABC OABC\,OABC is a trapezium, giving reasons for your answer.

[2]
Markscheme

Vectors Questions

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

309 exam-style questions on Edexcel A Level Maths Vectors, covering 12.1 3D Coordinates, 12.2 Vectors in 3D, 12.3 Solving Geometric Problems, and 12.4 Application to Mechanics. Each one has a worked solution and a mark scheme showing where the marks go.

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