write each number as 2-D vectors where the real part is the first coordinate and the imaginary part is the second coordinate. draw these on the Argand diagram. show that the magnitude of the vectors obey Pythagoras' theorem.

i assume you mean (use parentheses or learn LaTeX! -- see my signature for the latter)b) if w = a + ib and z = x + iy, where a,b,x and y are real numbers, such that w=z / 1 +iz, show that a =x / x^2 +(y-1)^2 and b = -{x^2+y^2 -y / x^2 + (y-1)^2}

That is,

Let .

Hint: find and simplify