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:- \[x^2+y^2+z^2=9, z\ge 0\]

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

- \(\hat k\)
- \(-\hat k\)
- \(\frac{1}{\sqrt{2}}\hat i - \frac{1}{\sqrt{2}}\hat k\)
- \(\frac{2}{\sqrt{5}}\hat i - \frac{1}{\sqrt{5}}\hat k\)

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