For questions 1 to 6 draw the following on separate Argand diagrams:
1. a = 4 − 3i and b = 3 + 2i
2. k = 4 + 2i and its conjugate
3. w = -1 − 4i and its conjugate
4. All of the numbers a + bi where a = 3
5. All of the numbers a + bi where b = -4
6. If d =1 + i draw 2d, 3d, 4d .... on an Argand diagram
7. If z is the complex number z = 2 + i, show on an Argand diagram:
(i) z
(ii) 2z
(iii) z + 2
(iv) iz
8. If z = 2 − 2i and w = 3 − i show graphically on separate Argrand diagrams:
(a) z + w
(b) z − w
9. If w = -3 − 2i show on an Argrand diagram.