Rotation of Rectangle using Complex Numbers
Each vertex of the rectangle is multiplied by the complex number z producing an image of the rectangle which is the result of an enlargement and a rotation.
Rotation of Rectangle using Complex Numbers
Multiplication of Complex Numbers as transformations
Complex number w can be multiplied by any complex number z by choosing a position for z on the Argand diagram. The number g shows the result. The angles that each complex number makes with the positive sense of the real axis are shown too.