The area of a quadrilateral whose vertices are `1,i,omega,omega^(2),` where `(omega!=1)` is a imaginary cube root of unity, is

If |z| = 3, the area of the triangle whose sides are z, omega z and z + omega z (where omega is a complex cube root of unity) is

The area of the triangle (in square units) whose vertices are i , omega and omega^(2) where i=sqrt(-1) and omega, omega^(2) are complex cube roots of unity, is

Evaluate: | (1, 1, 1), (1, omega^2, omega), (1, omega, omega^2)| (where omega is an imaginary cube root unity).

The value of the determinant |(1,omega^(3),omega^(5)),(omega^(3),1,omega^(4)),(omega^(5),omega^(4),1)| , where omega is an imaginary cube root of unity, is

find the value of |[1,1,1],[1,omega^(2),omega],[1,omega,omega^(2)]| where omega is a cube root of unity

The value of the expression 1.(2-omega).(2-omega^2)+2.(3-omega)(3-omega^2)+.+(n-1)(n-omega)(n-omega^2), where omega is an imaginary cube root of unity, is………