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What is the value of |z| if z = 4e^(iπ/3)?

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Question: What is the value of |z| if z = 4e^(iπ/3)?

Options:

  1. 4
  2. 8
  3. 2
  4. 1

Correct Answer: 4

Solution: 

The modulus |z| = 4, as it is the coefficient in the polar form.

What is the value of |z| if z = 4e^(iπ/3)?

Practice Questions

Q1
What is the value of |z| if z = 4e^(iπ/3)?
  1. 4
  2. 8
  3. 2
  4. 1

Questions & Step-by-Step Solutions

What is the value of |z| if z = 4e^(iπ/3)?
  • Step 1: Identify the given complex number z, which is in polar form: z = 4e^(iπ/3).
  • Step 2: Recognize that in polar form, the modulus |z| is represented by the coefficient before the exponential part.
  • Step 3: In this case, the coefficient is 4.
  • Step 4: Therefore, the value of |z| is 4.
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