Compute the modulus and argument of each complex number. Plot and label each complex number in the complex plane given.

Question

1. 1 + i
2. sqrt3 + i
3. -2i
4. -5
5. 5 - 5i
6. 7sqrt3 + 7i
7. -3 + 4i

Answer 1

For the complex number a + bi, the modulus is √(a² + b²) and the argument is

arctan b/a measured in radians.