• Chapter 13 – Vectors


    When students have completed this lesson they should be able to:

    • Understand the idea of a translation, and how it can be expressed either in column form or in terms of basic unit vectors
    • Know and be able to use the rules of vector algebra
    • Understand the idea of displacement and position vectors, and use these to prove geometrical results
    • Appreciate similarities and differences between geometry in tow and three dimensions
    • Know the definition of the scalar product, and its expression in terms of components
    • Use the rules of vector algebra which involve scalar products
    • Use scalar products to solve geometrical problems in two and three dimensions, using general vector algebra or components