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What is the value of |z| if z = 4e^(iπ/3)?
What is the value of |z| if z = 4e^(iπ/3)?
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Q1
What is the value of |z| if z = 4e^(iπ/3)?
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The modulus |z| = 4, as it is the coefficient in the polar form.
Questions & Step-by-step Solutions
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Q
Q: What is the value of |z| if z = 4e^(iπ/3)?
Solution:
The modulus |z| = 4, as it is the coefficient in the polar form.
Steps: 4
Show Steps
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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