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.

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 76E
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Need help with how to do 1.2-1.4

1. Given the complex numbers v = -3v3 – 3i and w = 3i, answer the following.
(1.1) (6 points) Plot the complex
numbers on the complex plane. Label
| (1.2) (12 points) Without the use of a calculator, identify the real
and imaginary parts, and compute the modulus and the principal
them with v and w. (Hint: 3/3 = 5.2) argument of v and w.
Im
Re
642
Re(v) =
Im(v) =
|v| =
Arg(v) =
Re(w) =
Im(w) =
|w| =
Arg(w) =
(1.3) (8 points) Rewrite v and w in polar
form, where r > 0 and 0 <0 < 2n.
(1.4) (12 points) Use the polar forms of v and w to calculate the
product vw and the quotient 2. Write your answers in polar form.
da
Transcribed Image Text:1. Given the complex numbers v = -3v3 – 3i and w = 3i, answer the following. (1.1) (6 points) Plot the complex numbers on the complex plane. Label | (1.2) (12 points) Without the use of a calculator, identify the real and imaginary parts, and compute the modulus and the principal them with v and w. (Hint: 3/3 = 5.2) argument of v and w. Im Re 642 Re(v) = Im(v) = |v| = Arg(v) = Re(w) = Im(w) = |w| = Arg(w) = (1.3) (8 points) Rewrite v and w in polar form, where r > 0 and 0 <0 < 2n. (1.4) (12 points) Use the polar forms of v and w to calculate the product vw and the quotient 2. Write your answers in polar form. da
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