[填空题]
A circle is drawn on an Argand diagram as shown below46tjo , ega(nb rkv,o*-tdqj ).3zfzhd ir/lo;9f*aq : The tangent to the circle from the point B(0,9) m oi: lqh;3dfzaf*/zr 9eets the circle at the point A as shown. Let w= OA$^{→}$.
1.Show that ∣w∣=3$\sqrt{3}$.
2.Find arg w.w=$\frac{\pi}{x}$,x= .
3.Hence write w in the form a+bi where a,b∈R.
w=$\frac{3\sqrt{3}}{x}+\frac{y}{2}i$,x= , y= .