Need help with how to do 1.2-1.4 # Complex Numbers Exercise## Given the complex numbers $ v = -3\sqrt{3} - 3i $ and $ w = 3i $, answer the following:### (1.1) Plot the Complex Numbers (6 points)- **Task:** Plot the complex numbers on the complex plane. Label them with $ v $ and $ w $.- **Hint:** $ 3\sqrt{3} \approx 5.2 $.#### Diagram Description:The complex plane has a grid with real numbers along the horizontal axis ($ Re $) and imaginary numbers along the vertical axis ($ Im $). The numbers range from -6 to 6 on both axes.### (1.2) Identify Real and Imaginary Parts (12 points)- **Task:** Without the use of a calculator, identify the real and imaginary parts, and compute the modulus and the principal argument of $ v $ and $ w $.| Complex Number | Real Part ($ Re $) | Imaginary Part ($ Im $) | Modulus ($ |z| $) | Principal Argument ($ Arg $) ||----------------|-----------------------|---------------------------|--------------------|-------------------------------|| $ v $ | | | | || $ w $ | | | | |### (1.3) Rewrite in Polar Form (8 points)- **Task:** Rewrite $ v $ and $ w $ in polar form, where $ r > 0 $ and $ 0 \leq \theta < 2\pi $.### (1.4) Compute Product and Quotient (12 points)- **Task:** Use the polar forms of $ v $ and $ w $ to calculate the product $ vw $ and the quotient $ \frac{v}{w} $. Write your answers in polar form.

Answered: Image /qna-images/answer/8da7661b-c3fd-4e1d-b500-a588d3cbbf16.jpg

them with v and w. (Hint: 3/3 = 5.2) | argument of v and w. Im Re 64-2 Re(v) = Im(v) = lv] = Arg(v) = Re(w) = Im(w) = |w| = Arg(w) = 1.3) (8 points) Rewrite v and w in polar (1.4) (12 points) Use the polar forms of v and w to calculate the orm, where r > 0 and 0 < 0 < 2n. product vw and the quotient . Write your answers in polar form.

them with v and w. (Hint: 3/3 = 5.2) | argument of v and w. Im Re 64-2 Re(v) = Im(v) = lv] = Arg(v) = Re(w) = Im(w) = |w| = Arg(w) = 1.3) (8 points) Rewrite v and w in polar (1.4) (12 points) Use the polar forms of v and w to calculate the orm, where r > 0 and 0 < 0 < 2n. product vw and the quotient . Write your answers in polar form.

Trigonometry (11th Edition)

11th Edition

ISBN:9780134217437

Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Chapter1: Trigonometric Functions

Section: Chapter Questions

Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.

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