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12.3 Solving Geometric Problems

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Question 32

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

a.

Find the position vector of CCC.

[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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