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12.3 Solving Geometric Problems

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Question 17

Relative to a fixed origin OOO, the point A A\,A has position vector (−2i+3j+5k)(-2\mathbf{i} + 3\mathbf{j} + 5\mathbf{k})(−2i+3j+5k), the point B B\,B has position vector (−5i+10j+k)(-5\mathbf{i} + 10\mathbf{j} + \mathbf{k})(−5i+10j+k), and the point C C\,C has position vector (−3i+7j−4k)(-3\mathbf{i} + 7\mathbf{j} - 4\mathbf{k})(−3i+7j−4k).

a.

Find BC⃗\vec{BC}BC

[2]
b.

Show that the quadrilateral OABC OABC\,OABC is a parallelogram, 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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