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1.11 Vectors

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Question 72

The midpoint of AB AB\,AB has position vector 3i−2j3\mathbf{i}-2\mathbf{j}3i−2j. The point A A\,A has position vector −i+5j-\mathbf{i}+5\mathbf{j}−i+5j.

a.

Find the position vector of BBB.

[2]
b.

Hence find ∣AB⃗∣\left|\vec{AB}\right|​AB​, giving your answer as a surd.

[2]
Markscheme

1.11 Vectors Questions

  1. A Level
  2. /Maths
  3. /1.11 Vectors

168 exam-style questions on OCR (MEI) A Level Maths 1.11 Vectors, covering 1.11.1 Language of vectors in two dimensions, 1.11.2 Add, subtract and scale vectors, 1.11.3 Magnitude and direction of a vector, 1.11.4 Position vectors, 1.11.5 Distance between points by position vectors, 1.11.6 Vectors to solve problems, 1.11.7 Language of vectors in three dimensions (A-level only), and 1.11 Vectors. Each one has a worked solution and a mark scheme showing where the marks go.

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