OCR FP1 2012 June — Question 1

Exam BoardOCR
ModuleFP1 (Further Pure Mathematics 1)
Year2012
SessionJune
TopicComplex Numbers Arithmetic
TypeMulti-part questions with division as one step

1 The complex numbers \(z\) and \(w\) are given by \(z = 6 - \mathrm { i }\) and \(w = 5 + 4 \mathrm { i }\). Giving your answers in the form \(x + \mathrm { i } y\) and showing clearly how you obtain them, find
  1. \(z + 3 w\),
  2. \(\frac { Z } { W }\).