Rectangular form is a mathematical notation used to express complex numbers in the form of a + bi, where a and b are real numbers and i is the imaginary unit.
To convert a complex number into rectangular form, you need to separate the real and imaginary parts of the complex number and write them in the form of a + bi. For example, the complex number 3 + 4i would be written in rectangular form as 3 + 4i.
Rectangular form allows us to easily perform mathematical operations on complex numbers, such as addition, subtraction, multiplication, and division. It also allows us to graph complex numbers on the complex plane.
Yes, a complex number can be written in infinitely many rectangular forms, as long as the real and imaginary parts are the same. For example, the complex number 2 + 3i can also be written as -1 + 4i, or 5 + 1i.
Yes, there is a formula for converting a complex number from rectangular form to polar form. It involves finding the magnitude (or absolute value) of the complex number and the angle it makes with the positive real axis. The formula is z = r(cosθ + isinθ), where r is the magnitude and θ is the angle.