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For z = 2 + 3i verify the following: z-z¯ = 6i - Mathematics and Statistics

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Question

For z = 2 + 3i verify the following:

`"z" - bar"z"` = 6i

Sum
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Solution

z = 2 + 3i

∴ `bar("z")` = 2 – 3i

∴ `"z" - bar"z"` = (2 + 3i) – (2 – 3i)

= 2 + 3i – 2 + 3i

= 6i

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Chapter 1: Complex Numbers - Exercise 1.3 [Page 15]

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