Suppose z = a + bi for some real numbers a and b. Select all the transformations that would happen to the vector representing z if you were to multiply it by Scale out O Scale in Rotate clockwise 0.5e¹ O Rotate counter-clockwise T

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 57E
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**Problem Statement:**

Suppose \( z = a + bi \) for some real numbers \( a \) and \( b \). Select all the transformations that would happen to the vector representing \( z \) if you were to multiply it by 

\[ 0.5e^{i \frac{\pi}{3}} \]

**Options:**

- [ ] Scale out
- [ ] Scale in
- [ ] Rotate clockwise
- [ ] Rotate counter-clockwise
Transcribed Image Text:**Problem Statement:** Suppose \( z = a + bi \) for some real numbers \( a \) and \( b \). Select all the transformations that would happen to the vector representing \( z \) if you were to multiply it by \[ 0.5e^{i \frac{\pi}{3}} \] **Options:** - [ ] Scale out - [ ] Scale in - [ ] Rotate clockwise - [ ] Rotate counter-clockwise
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