# Complex Numbers with Vector Addition

Complex Numbers with Vector Addition is obtained using the sides of triangles, the sum of sides of two sides of a triangle is greater than the other side. Worked Examples of Complex Numbers with Vector Addition Suppose $$\displaystyle 0 \lt \alpha, \ \beta \lt \frac{\pi}{2}$$ and define complex numbers $$z_n$$ by z_n = […]

# Locus of Complex Numbers

Locus of Complex Numbers is obtained by letting $$z = x+yi$$ and simplifying the expressions. Operations of modulus, conjugate pairs and arguments are to be used for determining the locus of complex numbers. Worked Example of Locus of Complex Numbers Let $$z = x + iy$$ be a complex number such […]

# Complex Number Regions

Regions defined by complex numbers $$\displaystyle z = x + yi$$ where $$x$$ and $$y$$ are real numbers, can be drawn using inequalities for complex number regions. Worked Example of Complex Number Regions Find the inequality of complex region $$\displaystyle \Bigg|1+\frac{1}{z}\Bigg| \le 1$$.