Learning objectives

Describe a translation with a column vector and represent vectors as directed line segments

Add and subtract vectors and multiply a vector by a scalar, both in column form and on diagrams

Calculate the magnitude of a vector using Pythagoras' theorem and the |a| notation

Express vectors in terms of given vectors using position vectors and the properties of equal and parallel vectors

Use vectors to show that lines are parallel or that points are collinear, and to find ratios of lengths

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