Modulus and argument (HSC SSCE Mathematics Extension 2): Quizzes

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Modulus and Argument
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What is the modulus of z = 3 + 4i?

5

What is the argument of z = 1 + i?

π/4

What is the polar form of z = 5?

5(cos 0 + i sin 0)

How is the argument adjusted?

Fit in -π to π

What is |z1z2| if |z1|=2, |z2|=3?

6

What is the argument of z1/z2?

arg(z1) - arg(z2)

What does the modulus represent?

Distance

What is the principal value of argument?

Angle in -π to π

What is the modulus of z = -3 + 4i?

5

What is the argument of z = -1 - i?

-3π/4

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