Asked by Chuck Bass
If z = 3 – 4i, determine which quadrant of the complex plane contains z and find its absolute value.
Quadrant I; |z| = 5
Quadrant IV; |z| = 5
Quadrant I; |z| = 11
Quadrant IV; |z| = 11
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Answered by
GPT-5 mini
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Quadrant IV; |z| = 5
Reason: Re(z) = 3 > 0 and Im(z) = −4 < 0, so it's in quadrant IV. |z| = sqrt(3^2 + (−4)^2) = 5.
Reason: Re(z) = 3 > 0 and Im(z) = −4 < 0, so it's in quadrant IV. |z| = sqrt(3^2 + (−4)^2) = 5.
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