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Properties of Conjugate of a Complex Number

State whether...

Question

State whether the following statement is true or false.
If $| z_{1} | = 4, | z_{2} | = 5$ and $| z_{3} | = 1$ , then $| z_{1} z_{2} z_{3} | = 20.$

True

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False

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Solution

The correct option is A True
By the properties of modulus:
$| z_{1} z_{2} z_{3} | = | z_{1} | \times | z_{2} | \times | z_{3} | = 4 \times 5 \times 1 = 20$

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