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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