Gives the conditions necessary for vectors to be considered equal. Briefly touches on negative vector also

Explains how to use the triangle law and the parallelogram law to add vectors geometrically. Shows how to subtract vectors geometrically by using the triangle law.

Simple example showing how to add one dimensional vectors.

How to represent a two dimensional vector in terms of the basis unit vectors ; i and j , by decomposing the vector into its horizontal and vertical components.

Representing a three dimensional vector in three dimensional space using the x,y and z axes. writing a three dimensional vector in terms of the perpendicular unit vectors; i, j and k.

Outlines the definition of the modulus of a 2D vector showing a simple example and outlines the definition of the dot product (geometrical) of 2D vectors followed by a simple example.

Verifies formula for the dot product of 2D vectors expressed in terms of i and j and shows simple example.

Geometric proof of the dot product using Cosine rule.

Outline of formula for finding the cross product of two 3D vectors which are written in terms of i, j and k. Worked example of finding the cross product of two 3D vectors which are written in terms of i, j and k.

Defines cross product of vectors and illustrates the geometrical representation of the cross product and use of the right hand rule. Outlines differences in results between dot product and cross product.