Complex Analysis: Theory and Applications · Problem 1.3.14

Complex Numbers — Howell & Matthews

Mathematics — Complex Analysis · parallel-vectors

Problem

Show that nonzero vectors z1z_1 and z2z_2 are parallel iff Im(z1z2‾)=0\text{Im}(z_1 \overline{z_2}) = 0.

Related theory

Browse the problem library