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Questions and Answers
In the context of complex numbers, what is the property of the complex conjugate of a number?
In the context of complex numbers, what is the property of the complex conjugate of a number?
- It changes the sign of both the real and imaginary parts
- It changes the sign of the real part
- It changes the sign of the imaginary part (correct)
- It preserves the sign of both the real and imaginary parts
Simplify the expression $(1 - i) - (1 + i)$ into rectangular form.
Simplify the expression $(1 - i) - (1 + i)$ into rectangular form.
- $1 - 2i$
- $-2 - 2i$ (correct)
- $-2 + 2i$
- $1 + 2i$
If $z = 2 + 5i$, what is the polar form of the complex number?
If $z = 2 + 5i$, what is the polar form of the complex number?
- $(5, 2.68)$
- $(5, 0.93)$ (correct)
- $(5, 3.82)$
- $(5, 1.19)$
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