IGCSE Maths Edexcel B 4MB1

8: Vectors and transformation geometry

#8A

Scalar and vector quantities

Vectors will be in two dimensions only

#8B

Understand and use vector notation

The notations OA\overrightarrow{OA} and a\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

(10)\begin{pmatrix} 1 \\ 0 \end{pmatrix} and (01)\begin{pmatrix} 0 \\ 1 \end{pmatrix}

These transformations will be those for which the origin is unchanged*

7
Mensuration
9
Trigonometry