maeviebix maeviebix

15-11-2014
Mathematics

Answered

Modulus: If z1=-2+3i and z2=1+2i calculate, |z1|, |z2|, and |z1+2z2|

Verified Answer :

konrad509 konrad509

15-11-2014

\(|z_1|=\sqrt{(-2)^2+3^2}=\sqrt{4+9}=\sqrt{13}\\ |z_2|=\sqrt{1^2+2^2}=\sqrt{1+4}=\sqrt{5}\\\\ z_1+2z_2=-2+3i+2(1+2i)=-2+3i+2+4i=7i\\ |z_1+2z_2|=\sqrt{0^2+7^2}=7\)

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