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Find the modulus and amplitude of the following complex numbers. 3 - Mathematics and Statistics

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Question

Find the modulus and amplitude of the following complex numbers.

3

Sum

Solution

Let z = 3 = 3 + 0i.

∴  a = 3, b = 0

∴ z is a real number, it lies on the positive real axis.

∴ |z| = `sqrt(a^2 + b^2)`

= `sqrt(3^2 + 0^2)`

= `sqrt(9 + 0)`

= 3

and amp (z) = 0.

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Argand Diagram Or Complex Plane
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Chapter 1: Complex Numbers - Exercise 1.3 [Page 15]

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