Using Conjugates with Complex Numbers
Algebra · Flashcards · Recall
ALGEBRA · FLASHCARDS
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QUESTION
What is
∣
z
‾
∣
|\overline{z}|
∣
z
∣
in terms of
∣
z
∣
|z|
∣
z
∣
?
QUESTION
State the quotient formula for
a
+
b
i
c
+
d
i
\frac{a+bi}{c+di}
c
+
d
i
a
+
bi
using a conjugate in the denominator.
QUESTION
State the formula for the modulus of
z
=
a
+
b
i
z=a+bi
z
=
a
+
bi
.
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ANSWER
∣
z
∣
=
a
2
+
b
2
|z|=\sqrt{a^2+b^2}
∣
z
∣
=
a
2
+
b
2
. Distance from origin in the complex plane.
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