Electric Field Due To A Hemisphere

Consider a positively charged, non-conducting hemispherical shell, placed such that its center is at origin and its curved surface is given by the equation:- x2+y2+z2=9,z0x^2+y^2+z^2=9, z\ge 0

What will the direction of electric field be at a point given by position vector 2i^-2\hat i

  1. k^\hat k
  2. k^-\hat k
  3. 12i^12k^\frac{1}{\sqrt{2}}\hat i - \frac{1}{\sqrt{2}}\hat k
  4. 25i^15k^\frac{2}{\sqrt{5}}\hat i - \frac{1}{\sqrt{5}}\hat k
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