AS/A2 Pure 4 Pure 5

P6 Summary
The formulae
The formula book available in the examination contains a large number of useful formulas for P6. Remember, you also need to be familiar with the formulae in P4 and P5 too, and those that need to be memorised from P1, P2 and P3.

Complex numbers

The roots of zn=1 are given by where k=0,1,2...n-1

Matrices
Anticlockwise rotation through q about O
Reflection in the line y=tanqx
The matrices for rotations (in 3D) through an angle q about one of the axes		for the x-axis: for the y-axis: for the z-axis:

Vectors
Vector product:
Triple scalar product:
Perpendicular distance of (a,b,c) from n1x+n2y+n3z +d =0
If A is the point with position vector and the direction vector b is given by then the straight line through A with direction vector b has cartesian equation
The plane through A with normal vector has cartesian equation
The plane through non-collinear points A, B and C has vector equation
The plane through the point with position vector a and parallel to b and c has equation

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