Tim Gan Math
Sign up free

Complex Numbers - Modulus, Argument, and Operations on Complex Numbers

Complex Numbers - Modulus, Argument, and Operations on Complex Numbers

Find the modulus and principle argument of each of the following complex numbers in term of \(\left| z \right|\), \(\left| w \right|\), \(\arg z\) or \(\arg w\):

  1. \(z^*w\)
  2. \(\left( zw \right)^*\)
  3. \(\frac{w}{2z^*}\)

Create a free account to practise similar questions.

Create free accountSign inGet the H2 Math course ยท from S$39.98/moH2 Math tuition
Answer: (a) \(\left| z \right|\left| w \right|\), \(\arg w-\arg z\) (b) \(\left| z \right|\left| w \right|\), \(-\arg w-\arg z\) (c) \(\frac{\left| w \right|}{2\left| z \right|}\), \(\arg w+\arg z\)

Need help? Join our JC Math tuition classes.

Learn more