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Mathematics
09.11.2022 02:52
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Modulus: if z1=-2+3i and z2=1+2i calculate, |z1|, |z2|, and |z1+2z2|

Modulus: if z1=-2+3i and z2=1+2i calculate, |z1|, |z2|, and |z1+2z2|
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astultz309459
astultz309459
4,6(26 marks)
|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


pri38
pri38
4,7(86 marks)
Ahorizontal line has a slope of 0. 

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