Complex Numbers Vectors Problem (1 Viewer)

[Zen2613]

Let P,Q,R be 3 points in the complex plane such that P,Q,R (going anticlockwise) is an equilateral triangle.
Let the point P and the point R be representative of the complex numbers z2 and z1 respectively.
Find the complex number represented by the point Q in terms of z1 and z2.

 

[InteGrand]

Let P,Q,R be 3 points in the complex plane such that P,Q,R (going anticlockwise) is an equilateral triangle.
Let the point P and the point R be representative of the complex numbers z2 and z1 respectively.
Find the complex number represented by the point Q in terms of z1 and z2.