Kompleksni Brojevi
Test Your Knowledge of Complex Numbers
Are you ready to dive into the fascinating world of complex numbers? This quiz will challenge your understanding of imaginary units, complex number operations, and their properties.
Perfect for students and math enthusiasts alike, this quiz will cover:
- Imaginary Numbers
- Complex Number Operations
- Moduli and Conjugates
- Real and Imaginary Parts
Imaginarna jedinica I je broj za koji vrijedi:
I²=2
I²=1
I²=-1
I=1
Kompleksni broj z je broj oblika:
Z=x+yi
Z=x-yi
Z=x*yi
Z=x/yi
U izrazu z=x+yi vrijedi da je:
X je realni dio
X je imaginarni dio
Y je imaginarna jedinica
Y je imaginarni dio
Kako se dijele kompleksni brojevi:
Z1/z2=z2konjugirano/z2konjugirano
Z1/z2=z1/z2 × z2/z1
Z1/z2=z2konjugirano/z1konjugirano
Z1/z2=z1/z2 × z2konjugirano/z2konjugirano
I^4k=i
True
False
|z1*z1|= |z1|* |z2|
True
False
(i^55-i^66/i^77+i^88) ^99
-i
I
1
-1
(x+yi)(x-yi)=x^2+yi^2
True
False
(1-i)(1+i)
0
2i
2
-2i
Z=-3+5i, koliki je z*zkonjugirano
9-25i²
0.5+0.5i
-34
34
Z=(2-i)(1+2i), koliki je modul z
3
-1
5
7
(a+bi)(2+i^267)=5, koliki je a
-2
0
2
5
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