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12.3 Solving Geometric Problems

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Question 26

Relative to a fixed origin OOO, the point A A\,A has position vector (−2i+5j+7k)(-2\mathbf{i} + 5\mathbf{j} + 7\mathbf{k})(−2i+5j+7k), the point B B\,B has position vector (−i+8j+5k)(-\mathbf{i} + 8\mathbf{j} + 5\mathbf{k})(−i+8j+5k), and the point C C\,C has position vector (3i+9j−6k)(3\mathbf{i} + 9\mathbf{j} - 6\mathbf{k})(3i+9j−6k).

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

12.3 Solving Geometric Problems Questions

  1. A Level
  2. /Maths
  3. /12.3 Solving Geometric Problems

67 exam-style questions on Edexcel A Level Maths 12.3 Solving Geometric Problems. Each one has a worked solution and a mark scheme showing where the marks go.

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