OCR FP1 2006 June — Question 5

Exam BoardOCR
ModuleFP1 (Further Pure Mathematics 1)
Year2006
SessionJune
TopicComplex Numbers Arithmetic
TypeMultiplication and powers of complex numbers
5 The complex numbers \(3 - 2 \mathrm { i }\) and \(2 + \mathrm { i }\) are denoted by \(z\) and \(w\) respectively. Find, giving your answers in the form \(x + \mathrm { i } y\) and showing clearly how you obtain these answers,
  1. \(2 z - 3 w\),
  2. \(( \mathrm { i } z ) ^ { 2 }\),
  3. \(\frac { z } { w }\).
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