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Question 158

Relative to a fixed origin OOO, the point A A\,A has position vector (4i−5j+7k)(4\mathbf{i} - 5\mathbf{j} + 7\mathbf{k})(4i−5j+7k), the point B B\,B has position vector (10i−13j+4k)(10\mathbf{i} - 13\mathbf{j} + 4\mathbf{k})(10i−13j+4k), and the point C C\,C has position vector (6i−8j−3k)(6\mathbf{i} - 8\mathbf{j} - 3\mathbf{k})(6i−8j−3k).

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

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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