Help 4 Complex number question?

Question

u = 2i

modulus of w = 1
argument of w = 2pi / 3

/ means divide

Find in the form of x+iy, where x & y are real the complex numbers;

1. w

2. uw

3. u / w

i know that u can't make any drawings but plz just put the calculations

thanks a lot in advance

Answer 1

w= cos 2pi/3 +i sin 2pi/3 =-1/2+i 1/2sqrt3
u*v= -i -sqrt3 = -sqrt3 - i
u/v = 2i *(-1/2- 1/2sqrt3i) = sqrt3 -i