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ZIMSEC A-Level Pure Mathematics

6.2.2.1Vector notation, operations and the scalar product

Vector notation, operations and the scalar product in ZIMSEC A-Level Pure Mathematics: what the syllabus expects you to know, the learning objectives and how to practise.
Subtopic39 practice questions2 lessons

Overview

Form 5 (vector notation, operations, types of vectors, magnitude, dot product, area of plane shapes).

Learning objectives

What the syllabus expects you to be able to do.

  1. 6.2.2.1.1Form 5: define position and free vectors.
  2. 6.2.2.1.2Form 5: add and subtract vectors and multiply them by scalars.
  3. 6.2.2.1.3Form 5: use unit, displacement and position vectors and the scalar (dot) product to solve problems.

Lessons

  • The scalar product and angles between vectors

    50 min

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  • Vectors in two and three dimensions

    50 min

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Sample question

A sample question on this topic. Answer it, check it, then read the worked answer.

Vector notation, operations and the scalar product: sample question

1 mark

Find the magnitude of the vector 2i−3j+6k2\mathbf{i} - 3\mathbf{j} + 6\mathbf{k}.

Only if the answer has a unit, e.g. cm or km/h.

Turn Vector notation, operations and the scalar product into a strength.

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