IGCSE Maths Specification

Edexcel B 4MB1

Section 8: Vectors and transformation geometry

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#8A

Scalar and vector quantities

Vectors will be in two dimensions only

#8B

Understand and use vector notation

The notations \(\overrightarrow{OA}\) and \(\bold{a}\) will be used, as will column vectors

#8C

Representation of a vector by a directed line segment

#8D

Parallel vectors, unit vectors and position vectors

#8E

Sum and difference of two vectors

#8F

Modulus (magnitude) of a vector

#8G

Multiplication of a vector by a scalar

#8H

Find the resultant of two or more vectors

#8I

Apply vector methods to simple geometrical problems

The problems may involve colinearity, parallel lines and concurrency

#8J

Transformations of the plane

Reflections in any line

Rotations about any point

Translations

Enlargements

#8K

Combination of transformations

#8L

Multiplication of a vector by a matrix

To include the finding of a matrix for a given transformation of the plane, using

\(\begin{pmatrix} 1 \\ 0 \end{pmatrix}\) and \(\begin{pmatrix} 0 \\ 1 \end{pmatrix}\)

These transformations will be those for which the origin is unchanged