OABCDE is a regular hexagon. With O as origin the position vector of C is c and the position vector of D is d.
(a) Find, in terms of c and d,
i) DC,
ii) OE
iii) the position vector of B.
(b) The sides of the hexagon are each of length 8 cm.
Calculate
i) the size of angle ABC,
ii) the area of triangle ABC,
iii) the length of the straight line AC,
iv) the area of the hexagon.