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Question 148

Relative to a fixed origin OOO, the point A A\,A has position vector (5i−2j−3k)(5\mathbf{i} - 2\mathbf{j} - 3\mathbf{k})(5i−2j−3k), the point B B\,B has position vector (8i+2j−5k)(8\mathbf{i} + 2\mathbf{j} - 5\mathbf{k})(8i+2j−5k), and the point C C\,C has position vector (6i+8j−4k)(6\mathbf{i} + 8\mathbf{j} - 4\mathbf{k})(6i+8j−4k).

Find AB⃗\vec{AB}AB and show that the quadrilateral OABC OABC\,OABC is a trapezium, giving reasons for your answer.

[4]
Markscheme

Vectors Questions

  1. A Level
  2. /Maths
  3. /Vectors

309 exam-style questions on Edexcel A Level Maths Vectors, covering 12.1 3D Coordinates, 12.2 Vectors in 3D, 12.3 Solving Geometric Problems, and 12.4 Application to Mechanics. Each one has a worked solution and a mark scheme showing where the marks go.

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