Complex Modulus

Gives the magnitude of a complex number in a $\mathbb{C}$ plane

$|z|=z\bar{z}$

• $\bar{z}$ is the complex conjugate of $z$

$|z_1+z_2{|}^2=|z_1{|}^2+|z_2{|}^2+2|z_1||z_2|\cos ({\theta }_1-{\theta }_2)$

• Distributive property