Question

Plot the complex numbers on the complex plane. $-2+3 i$

   Plot the complex numbers on the complex plane.
$-2+3 i$

Precalculus

Jay Abramson 1st Edition

Chapter 3, Problem 14

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Solved by Expert Ad F

07/24/2019

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In $-2+3i$, the real part is $-2$ and the imaginary part is $3$. Show more…

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Plot the complex numbers on the complex plane. $-2+3 i$

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Key Concepts

Complex Numbers

Complex numbers are numbers expressed in the form a + bi, where 'a' represents the real part and 'b' represents the imaginary part. The imaginary unit 'i' is defined by the property i² = -1, allowing for the extension of the real number system to encompass solutions to equations that have no real solutions.

Complex Plane

The complex plane is a graphical representation of complex numbers where the horizontal axis indicates the real part and the vertical axis indicates the imaginary part. This plane provides a visual method to compare, add, subtract, and generally work with complex numbers by treating them as points or vectors in a two-dimensional space.

Graphical Representation of Complex Numbers

Plotting complex numbers involves converting the algebraic representation a + bi into a coordinate (a, b) on the complex plane. This method helps visualize the magnitude and direction (or phase) of complex numbers, and facilitates understanding of operations like addition, subtraction, and finding the modulus or argument of a complex number.

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