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12.3 Solving Geometric Problems

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Question 29

Relative to a fixed origin OOO, the point A A\,A has position vector (4i−2j−5k)(4\mathbf{i} - 2\mathbf{j} - 5\mathbf{k})(4i−2j−5k), the point B B\,B has position vector (ki+j−9k)(k\mathbf{i} + \mathbf{j} - 9\mathbf{k})(ki+j−9k), and the point C C\,C has position vector (4i+6j−8k)(4\mathbf{i} + 6\mathbf{j} - 8\mathbf{k})(4i+6j−8k).

a.

Find AB⃗\vec{AB}AB in terms of kkk.

[2]
b.

Find the value of k k\,k for which the quadrilateral OABC OABC\,OABC is a trapezium, giving reasons for your answer.

[3]
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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