A-level · Vectors

Vector notation and representationExam-style questions

What a vector is (a size and a direction), the ways we write one (bold letter, arrow, column, i–j components), and how to add, subtract and scale vectors — both geometrically (nose-to-tail) and component by component.

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3 questions · A-level level · mark scheme and worked solution on each · no sign-up to try

DifficultyAllLevel 2Level 3
  1. 1
    Given a=2i−j+3k\mathbf{a} = 2\mathbf{i} - \mathbf{j} + 3\mathbf{k} and b=i+4j−2k\mathbf{b} = \mathbf{i} + 4\mathbf{j} - 2\mathbf{k}, find a+b\mathbf{a} + \mathbf{b} and a−b\mathbf{a} - \mathbf{b}.
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