Examples
1. Find the quantity: |(1 + i)(2 + i)|
= |2 + 3i + i2|
= |2 + 3i - 1|
= |1 + 3i|
= |(1,3)|
= (12 + 32)1/2
= 101/2
2. Find arg (1 - i)
= arctan (-1 / 1)
= arctan (-1)
= -p/4
3. Represent -31/2 - i in polar form.
r = |z| = |-31/2 - i| = 2
q = arctan y/x = arctan (-1) / (-31/2) = 7p / 6
-31/2 - i = 2 cos (7p / 6) + i2 sin (7p / 6)
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