MTH210
Question: For Complex numbers Z_{1}, Z_{2} and Z_{3} we have the following easily verifiable properties except _________________
Answer: \\(Z_{1}- Z_{2}= Z_{2}-Z_{1}\\)
Question: Two Complex numbers are added simply by adding together their real parts and______________parts
Answer: imaginary
Question: This number e^{Z} satisfies the usual algebraic properties of the ____________function
Answer: Exponential
Question: For any complex number Z=a+ib, the number \\bar{Z}=a-ib is called its complex __________________
Answer: conjugate
Question: The elements of two complex numbers are equal if their real parts are equal and their ________________parts are equal
Answer: imaginary
Question: The difference between two Complex numbers are obtained simply by finding the difference between their _____________parts and as well as the difference between their imaginary parts
Answer: real
Question: Two complex numbers Z_{1}=x_{1}+iy_{1} and Z_{2}=x_{2}+iy_{2} are equal if___________________
Answer: \\(x_{1}=x_{2} and y_{1}=y_{2}\\)
Question: A famous geometric inequality (which holds for vectors in R^n) is the _________________________inequality
Answer: triangle
Question: The angle θ is called the _______________________of the complex number
Answer: argument
Question: If Z=x+iy, then e^{Z} is defined to be the complex number e^{Z}=
Answer: \\(e^{x}(cosy+isiny)\\)
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