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1.13 J: Vectors

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Question 70

It is given that

a=4i−j+2k\mathbf{a} = 4\mathbf{i} - \mathbf{j} + 2\mathbf{k}a=4i−j+2k and b=−2i+3j+k\mathbf{b} = -2\mathbf{i} + 3\mathbf{j} + \mathbf{k}b=−2i+3j+k

a.

Find 3a−2b3\mathbf{a} - 2\mathbf{b}3a−2b.

[2]
b.

Find ∣3a−2b∣\left|3\mathbf{a} - 2\mathbf{b}\right|∣3a−2b∣, giving your answer to three significant figures.

[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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