Question

Find the missing value when given the modulus.
|a-i| = sqrt37 (in the third quadrant)

Answer 1

\[|a + bi| = \sqrt {a^2 + b^2}\]so\[\left| a-i \right|=\sqrt{37} \implies a= \pm 6\]The third quadrant means a = -6.

Answer 2

Okay thank you, just making sure!

Answer 3

No sweat. Do math every day.