Conjugates, division and equating parts Problem set B Answers

1. (a) \(z^* = -3 - 8i\)
2. (b) \(zz^* = 225\)
3. (c) \(z^* = 5 + 6i,\ zz^* = 61\)

1. (a) \(2iy\)
2. (b) \(4ixy\)

1. (a) \(2 - 3i\)
2. (b) \(\frac{11}{13} - \frac{16}{13}i\)
3. (c) \(\frac{2}{17} - \frac{8}{17}i\)

1. (a) \(z = 4 - 5i\)
2. (b) \(z = 6 + 3i\)

1. (a) \(a = -1,\ b = 4\)
2. (b) \(a = 2,\ b = 1\)

1. (a) \(5i\)
2. (b) \(uu^* = 5\) volts squared

\(z = 3 - i\)

1. (a) \(zz^* = 10,\ z + z^* = 6\)
2. (b) \(\frac{3}{5}\)