Geometric Representations of Complex Numbers
Algebra · Flashcards · Recall
ALGEBRA · FLASHCARDS
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QUESTION
What is the geometric meaning of
z
1
z
2
z_1z_2
z
1
z
2
in polar form?
QUESTION
What is the geometric meaning of multiplying by
i
i
i
?
QUESTION
What is
(
z
1
z
2
)
ˉ
\bar{(\frac{z_1}{z_2})}
(
z
2
z
1
)
ˉ
for
z
2
≠
0
z_2 \neq 0
z
2
=
0
?
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ANSWER
(
z
1
z
2
)
ˉ
=
z
1
ˉ
z
2
ˉ
\bar{(\frac{z_1}{z_2})} = \frac{\bar{z_1}}{\bar{z_2}}
(
z
2
z
1
)
ˉ
=
z
2
ˉ
z
1
ˉ
. Conjugate distributes over division.
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