7.2 Vectors in two dimensions Notes and examples 1 Describe a translation using a vector represented by x y J L K K N P O O, AB or a. 2 Add and subtract vectors. 3 Multiply a vector by a scalar. Vectors will be printed as AB or a. 7.3 Magnitude of a vector Notes and examples Calculate the magnitude of a vector x y J L K K N P O O as x y 2 2 + The magnitudes of vectors will be denoted by modulus signs, e.g. • a is the magnitude of a • AB is the magnitude of AB. 7.4 Vector geometry 1 Represent vectors by directed line segments. 2 Use position vectors. 3 Use the sum and difference of two or more vectors to express given vectors in terms of two coplanar vectors. 4 Use vectors to reason and to solve geometric problems. Examples include: • show that vectors are parallel • show that 3 points are collinear • solve vector problems involving ratio and similarity.
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