WJEC Mathematics for AS Level - Pure

6 The contents of this study and revision guide are designed to guide you through to success in the Pure Mathematics component of the WJEC Mathematics for AS Level: Pure examination. It has been written by an experienced author and teacher. This book has been written speciϐically for the WJEC AS course you are taking and includes everything you need to know to perform well in your exams. Knowledge and Understanding 165 Introduction Vectors can be used to describe displacements, velocities, accelerations and forces in two or three dimensions. Using vectors simplifies solving real-life problems involving the above. In this topic we will look at vectors in two dimensions fromapuremathematicsperspective. You will come across vectors again when solving problems in mechanics. This topic covers the following: 9.1 Scalars and vectors 9.2 Vectors in two dimensions 9.3 The magnitude of a vector 9.4 Algebraic operations of vector addition, subtraction and multiplication by scalars, and their geometrical interpretations 9.5 Position vectors 9.6 Coordinate geometry and vectors 9.7 Position vector of a point dividing a line in a given ratio 9.8 Using vectors to solve problems in pure mathematics 20/10/2017 10:24 Topics start with a short list of the material covered in the topic and each topic will give the underpinning knowledge and skills you need to performwell in your exams. The knowledge section is kept fairly short leaving plenty of space for detailed explanation of examples. Pointers will be given to the theory, examples and questions that will help you understand the thinking behind the steps. You will also be given detailed advice when it is needed. The following features are included in the knowledge and understanding sections: • Grade boosts are tips to help you achieve your best grade by avoiding certain pitfalls which can let students down.