How do you find $| - 7 i |$ $abs( -7i )$ ?

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Answer 1 · 2018-01-09T13:01:12

$| - 7 i | = 7$ $|-7i | = 7$

Using the definition:

$| a + b i | = \sqrt{a^{2} + b^{2}}$ $|a+bi|=sqrt(a^2+b^2)$

Then:

$| - 7 i | = \sqrt{0^{2} + {(- 7)}^{2}}$ $|-7i | = sqrt ( 0^2+(-7)^2)$
$\ \ \ \ \ \ \ \ \ \ = sqrt ( 49)$
$\ \ \ \ \ \ \ \ \ \ = 7$

How do you find abs( -7i )|−7i|abs( -7i )?