# Vectors

This set of resources requires students to describe translations as 2D vectors, add and subtract vectors, multiply vectors by a scalar quantity, and represent vectors in diagrammatic form and as column vectors.

Visit the secondary mathematics page to access all lists.

### Transformations

This MEP resource is taken from text book 9A section 7.2 which covers the topic of translating by a vector and could be used as a review for students before they move on to more complicated problems.

The initial file forms part of the textbook. There are extra exercises that complement the work covered in the textbook. The overhead slides can be used on an interactive whiteboard..

### Vectors Introduction

This interactive PowerPoint presentation is designed to introduce students to vectors, followed by the algebra of vectors and the concept of the scalar product.

The opening slides of the presentation explain the difference between scalar and vector quantities followed by a simple activity.

The first presentation explains the properties of vectors including line vectors, free vectors, the modulus of a vector, equal vectors, negative vectors, multiplying a vector by a scalar quantity, unit vectors and the angle between two vectors.

The second presentation explains Cartesian vectors, introducing i, j and k unit vectors followed by an interactive page looking at different vector notation in two dimensions.

The algebra of vectors covers the addition of vectors, multiplication by a scalar and the magnitude of a vector.

The scalar product presentation shows how the scalar product can be used to calculate the angle between two vectors, followed by an interactive page where students can explore for themselves.

### Vectors

This interactive excel sheet deals with a variety of vector topics. It begins with sheets which require students to identify column vectors from line segments and then to find the magnitude and direction of vectors expressed in column form.

The next interactive sheets illustrate the fact that a+nb lies on a straight line and finding the point of intersection of two straight lines. Later sheets deal with some vector geometry topics including the mid-point of a line, the centroid of a triangle and parallelogram formed by the midpoints of a quadrilateral.

There are a further eight sheets of questions on a number of different vector topics which may be duplicated for classroom use.

### Translation and Vectors

This resource contains two packs of games, investigations, worksheets and practical activities supporting the teaching and learning of translations and vectors, from creating border patterns to working with vectors.

Translations and vectors pack one contains twelve work cards with a wide variety of activities covering border patterns, points of the compass, simple vectors, creating messages from vectors, translating coordinates, and the Queen on a chessboard problem.

Translations and vectors pack two contains eleven work cards with activities requiring students to translate shapes, combine translations, describe journeys using vectors, find the magnitude of a vector, use vector algebra, use vectors to show proof, add vectors, and divide vectors into a given ratio.

Related resources include answers to all of the cards and test books and answers.

### Exercises in Modern Mathematics

This resource consists of ten topics, each section containing a brief explanation, examples and exercises.

The section on vectors begins with simple vector addition, free vectors and applications in elementary geometry, most notably in their use for proof. Further applications are considered such as the use of vectors to represent forces. The scalar product is described and used to find angles between vectors and use is made of unit vectors using i,j notation. The resource includes a number of examples of using vectors to construct geometric arguments and proofs.