DEVELOPMENT 7. In the diagram on the right, the points P and Q correspond to the complex numbers z and w respectively. The triangle OPQ is isosceles and the angle POQ is a right angle. Prove that 2²+w² = 0. X

l. The complex numbers u and v, are given by u =1 + (2sqr(3))i and v = 3 + 2i. In an Argand diagram, u and v are represented by points A and B. A third point C lies in the first quadrant a such that BC = 2AB and angle ABC = 90°, Find the complex number z represented by C. giving your answer in the form x + iv. where x and v are real and exact.

please do all a, b & c thank youuuu

Plot the product of the complex numbers on the plane below. Answer (3e225) (2270) Points can be moved by dragging or using the arrow keys. If using the arrow keys, note that the right/left arrow will increase/decrease the radius a will increase/decrease the angle. Enable Zoom/Pan

For the complex number z =2e(-125)° , what is Im{z}?

Canvas Special accommodation requests must be submitted at least 7 days before the date you plan to take the test. Question 11 Plot the complex number. -3 4- MacBook Air 1-... 241 2. ム fob T. A caps ock H. shift C B 7N 7M olf in control option comm and

1. Solve the following complex number arithmetic: 1-j 2+3j A. B. (3-4j) (5+6j) C. (1+2)+4e/50 Se/30° 2-j D. Hon Coring as a refere