PHYSICS · Multi-part · Fermi University Physics · Mathematical Methods for Physics · Foundations of mathematical language · Foundations of mathematical language
Mathematical Methods for Physics, Ch Complex numbers, the complex exponential and phasors
Problem
Let z1=5+12i and z2=2−2i.
((a)) Find the modulus and argument of each.
((b)) Say in words what multiplying any complex number by z2 does to its point on the complex plane, and use that to predict ∣z1z2∣ and arg(z1z2).
((c)) Multiply z1z2 out in Cartesian form and check the prediction.