The amplitude of (z\_{1},z\_{2}) is. | MATH - CONJUGATE, MODULUS AND ARGUMENT OF COMPLEX NUMBERS | SolveeIt

The amplitude of $z_{1},z_{2}$ is.

$|z_{1} + z_{2}|^{2} =$

$|z_{1}|^{2} + |z_{2}|^{2}$

${Re}\left( \frac{z_{1}}{z_{2}} \right) = 0$

Answer

${Re}\left( \frac{z_{1}}{z_{2}} \right) = 0$

Explanation

$y = \pm 3z = \pm (1 - 3i)\because$

$\{ \pm (1 - 3i)\}^{2} = - 8 - 6i$ = $\sqrt{- 7 - 24i} = x - iy$

amp $- 7 - 24i = x^{2} - y^{2} - i(2xy)$ $x^{2} - y^{2} = - 7$

Question: The amplitude of \(z_{1},z_{2}\) is....