If two consecutive vertices of a regular hexagon be z and `barz` , find the other vertices if the centre is z = 0.

a and b form the consecutive sides of a regular hexagon ABCDEF.

If z_1,z_2 are two complex numbers representing two consecutive vertices of a square then what is the complex number represented by the centre of the square ?

Five point charge ( +q each) are placed at the five vertices of a regular hexagon of side 2a .what is the magnitude of the net electric field at the centre of the hexazon?

The coordinates of two consecutive vertices A and B of a regular hexagon ABCDEF are (1,0) and (2,0) respectively.The equation of the diagonal CE is:

Three vertices are chosen at random from the vertices of a regular hexagon then The probability that the triangle with these vertices is an equilateral triangle is equal to

If points A_1, A_2,…,A_6 representing the complex numbers z_1, z_2,….,z_6 respectively the vertices of a regular hexagon and if z_0 be the complex number representing centroid of the hexagon then prove that z_(1)^(2) + z_(2)^(2) +….+z_(6)^(2)=6z_(0)^(2) .

Five point charges, +q each are placed at the five vertices of a regular hexagon. The distance of the center of the hexagon from any fo the vertices is a. the electric field at the center of the hexagon is

A, B, C, D, E, F in that order, are the vertices of a regular hexagon with centre orgin. If the position vectors of the vertices A and B are respectively, 4hati+3hatj-hatk and -3hati+hatj+hatk , then DE is equal to