8 Vectors and transformation geometry

Scalar and vector quantities Vectors will be in two dimensions only

Understand and use vector notation The notation for the vector from O to A, written OA with an arrow above it, and the bold vector a will be used, as will column vectors

Representation of a vector by a directed line segment

Parallel vectors, unit vectors and position vectors

Sum and difference of two vectors

Modulus (magnitude) of a vector

Multiplication of a vector by a scalar

Find the resultant of two or more vectors

Apply vector methods to simple geometrical problems The problems may involve colinearity, parallel lines and concurrency

Transformations of the plane Reflections in any line Rotations about any point Translations Enlargements

Combination of transformations

Multiplication of a vector by a matrix To include the finding of a matrix for a given transformation of the plane, using the column vectors (1, 0)ᵀ and (0, 1)ᵀ These transformations will be those for which the origin is unchanged