OCR FP1 2014 June — Question 2

Exam BoardOCR
ModuleFP1 (Further Pure Mathematics 1)
Year2014
SessionJune
TopicComplex Numbers Arithmetic
TypeMulti-part questions with division as one step

2 The complex number \(7 + 3 \mathrm { i }\) is denoted by \(z\). Find
  1. \(| z |\) and \(\arg z\),
  2. \(\frac { z } { 4 - \mathrm { i } }\), showing clearly how you obtain your answer.