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12.3 Solving Geometric Problems

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Question 24

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−3k)(3\mathbf{i} - 3\mathbf{k})(3i−3k), and the point C C\,C has position vector (2i+2j−4k)(2\mathbf{i} + 2\mathbf{j} - 4\mathbf{k})(2i+2j−4k).

a.

Find AB⃗\vec{AB}AB

[2]
b.

Find OC⃗\vec{OC}OC

[1]
c.

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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