Plot two distinct complex numbers in a complex plane ( the x-axis is the real number part and the y-axis is the imaginary part of a complex number (x,y) ). Then do the following: - determine the additive and multiplicative inverses of the 2 distinct complex numbers chosen and illustrate them in the same plane - illustrate in the same complex plane the sum and products of the 2 distinct complex numbers chosen -illustrate also the additive and multiplicative inverses of their sum and product. -describe the result of all the illustrations

Plot two distinct complex numbers in a complex plane ( the x-axis is the real number part and the y-axis is the imaginary part of a complex number (x,y) ). Then do the following: - determine the additive and multiplicative inverses of the 2 distinct complex numbers chosen and illustrate them in the same plane - illustrate in the same complex plane the sum and products of the 2 distinct complex numbers chosen -illustrate also the additive and multiplicative inverses of their sum and product. -describe the result of all the illustrations

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter8: Applications Of Trigonometry

Section8.5: Trigonometric Form For Complex Numbers

Problem 72E

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Question

Plot two distinct complex numbers in a complex plane ( the x-axis is the real number part and the y-axis is the imaginary part of a complex number (x,y) ). Then do the following:
- determine the additive and multiplicative inverses of the 2 distinct complex numbers chosen and illustrate them in the same plane
- illustrate in the same complex plane the sum and products of the 2 distinct complex numbers chosen
-illustrate also the additive and multiplicative inverses of their sum and product.
-describe the result of all the illustrations

Combination of a real number and an imaginary number. They are numbers of the form a + b , where a and b are real numbers and i is an imaginary unit. Complex numbers are an extended idea of one-dimensional number line to two-dimensional complex plane.

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