A uniform electric field exists in \( x-y \) plane. The potential o...

A uniform electric field exists in \( x-y \) plane. The potential of points \( A(2 \mathrm{~m}, 2 \mathrm{~m}), B(-2 \mathrm{~m}, 2 \mathrm{~m}) \) and \( C(2 \mathrm{~m}, 4 \mathrm{~m}) \) are \( 4 \mathrm{~V}, 16 \mathrm{~V} \) and \( 12 \mathrm{~V} \) respectively. The electric field is
(a) \( (4 \hat{\mathbf{i}}+5 \hat{\mathbf{j}}) \mathrm{V} / \mathrm{m} \)
(b) \( (3 \hat{\mathbf{i}}+4 \hat{\mathbf{j}}) \mathrm{V} / \mathrm{m} \)
(c) \( -(3 \hat{\mathbf{i}}+4 \hat{\mathbf{j}}) \mathrm{V} / \mathrm{m} \)
(d) \( (3 \hat{\mathbf{i}}-4 \hat{\mathbf{j}}) \mathrm{V} / \mathrm{m} \)