OCR FP1 2009 June — Question 3

Exam BoardOCR
ModuleFP1 (Further Pure Mathematics 1)
Year2009
SessionJune
TopicComplex Numbers Arithmetic
TypeMultiplication and powers of complex numbers
3 The complex numbers \(z\) and \(w\) are given by \(z = 5 - 2 \mathrm { i }\) and \(w = 3 + 7 \mathrm { i }\). Giving your answers in the form \(x + \mathrm { i } y\) and showing clearly how you obtain them, find
  1. \(4 z - 3 w\),
  2. \(z ^ { * } w\).
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