Question

Plot the complex numbers on the complex plane. $i$

   Plot the complex numbers on the complex plane.
$i$

Precalculus

Jay Abramson 1st Edition

Chapter 3, Problem 15

Instant Answer

Solved by Expert Charles Carter

12/07/2019

Step 1

Step 1: The complex number $i$ can be written as $0 + 1i$, where $0$ is the real part and $1$ is the imaginary part. Show more…

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Plot the complex numbers on the complex plane. $i$

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Key Concepts

Plotting Complex Numbers

Plotting complex numbers involves positioning a point on the complex plane according to its real and imaginary parts. For instance, a complex number of the form a + bi is plotted at the coordinates (a, b), with the real part determining the horizontal position and the imaginary part determining the vertical position.

Complex Plane

The complex plane is a two-dimensional plane used to graphically represent complex numbers. In this plane, the horizontal axis (real axis) represents the real part of the complex number, and the vertical axis (imaginary axis) represents the imaginary part.

Imaginary Unit

The imaginary unit, denoted as i, is defined by the property that i² = -1. It provides a way to represent the square root of negative numbers and is a fundamental component in the construction of complex numbers.

Complex Numbers

Complex numbers are numbers that can be expressed in the form a + bi, where a is the real part and b is the imaginary part. They extend the concept of one-dimensional real numbers to the two-dimensional complex plane, allowing for the solution of equations that do not have real solutions.

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