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1.13 J: Vectors

1.13 J: Vectors

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Question 36

The points AAA, B B\,B and C C\,C have position vectors a=i+2j\mathbf{a} = \mathbf{i} + 2\mathbf{j}a=i+2j, b=5i+4j\mathbf{b} = 5\mathbf{i} + 4\mathbf{j}b=5i+4j and c=3i+8j\mathbf{c} = 3\mathbf{i} + 8\mathbf{j}c=3i+8j

a.

Find ∣AB⃗∣\left|\vec{AB}\right|​AB​ and ∣BC⃗∣\left|\vec{BC}\right|​BC​, giving your answers as surds in their simplest form.

[3]
b.

Show that AB AB\,AB is perpendicular to BCBCBC.

[2]
Markscheme

1.13 J: Vectors Questions

  1. A Level
  2. /Maths
  3. /1.13 J: Vectors

168 exam-style questions on AQA A Level Maths 1.13 J: Vectors, covering 1.13.1 Vectors in two and three dimensions, 1.13.2 Magnitude and direction of a vector, 1.13.3 Vector arithmetic, 1.13.4 Position vectors, and 1.13.5 Vectors to solve problems. Each one has a worked solution and a mark scheme showing where the marks go.

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