In Exercises 1–10, plot each complex number and find its absolute...

Question

In Exercises 1–10, plot each complex number and find its absolute value.

z = 3 + 2i

Accepted Answer

Plot the given complex number on the graph and determine is absolute value where we have C equals five plus seven I. And we're also given a complex plane to plot our point on. Now to solve this, we first need the equation of a complex number which generally will be Z equals X plus Y I. We can then see from our equation X will be five and Y will be seven. Now, on the complex graph, our point xy will be the point that we plot our answer on which in our case is 57. So we will move on our real axis by five and we go up on our imaginary by seven which gives us a point in quadrant one. Now we can find the absolute value to find the absolute value. We will take the magnitude of R point Z which is given by the square root X squared plus Y squared. You have the square root of 25 then plus 49. If we were to square our five and our seven, we get the absolute value which is underneath the sweat root. Now we can't simplify anymore our answer will be the opposite by Z equals the square root of 74. Ok. I hope to help you solve the problem. Thank you for watching. Goodbye.

My Courses

Chemistry

Biology

Math

Physics

Business

Social Sciences

Programming

Product & Marketing

In Exercises 1–10, plot each complex number and find its absolute value. z = 3 + 2i