How do you plot $6-7i$ and find its absolute value?

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Answer 1 · 2017-07-06T22:31:48

$|6-7i| = sqrt(85) = 9.219...$

Let:

$z = 6-7i$

Then:

$Re(z) =6$
$Im(z) = -7$

Thus $z$ will be at coordinate $(6,-7)$ on the argand plane.

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We calculate the absolute value, or modulus, of the number as follows:

$|z| = |6-7i|$
$" " = sqrt(6^2+(-7)^2)$
$" " = sqrt(36+49)$
$" " = sqrt(85)$
$" " = 9.219...$

How do you plot 6-7i6-7i and find its absolute value?