Vibrations and Waves · Problem 1-3

The superposition of periodic motions — A.P. French

Physics — Waves · complex-exponential

Problem

Show that the multiplication of any complex number zz by ejθe^{j\theta} is describable, in geometrical terms, as a positive rotation through the angle θ\theta of the vector by which zz is represented, without any alteration of its length.

Related theory

Browse the problem library