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Performing Arithmetic with Complex Numbers

Performing Arithmetic with Complex Numbers 1.14 - Solution

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a
The real part is the number that is not multiplied by which in this case is equal to The imaginary part is the number that is multiplied by For this complex number, the imaginary part is and
b
This number has a negative imaginary part, which must not be overlooked. This means that and
c
This number has a negative real part, and the number that is multiplied by is, in this case, . Therefore, and
d
This number has no real part, which means and
e
This number has no imaginary part. Therefore, and
f
We determine the real part by identifying the term that does not contain an In this case, that term is The imaginary part is determined by identifying the coefficient in front of in the term that does contain an which is As a result, and