A proton is located in the \(x y\) plane at \((4.00 \mathrm{~mm}, 3. 00\) \(\mathrm{mm}\) ) and experiences an electric force exerted by a particle at the origin carrying a positive charge of \(6.95 \mu \mathrm{C}\).

(a) Determine the magnitude and direction of the electric force exerted on the proton.

(b) Using the relationship between electric field and electric force and the result from part \(a\), determine the magnitude and direction of the electric field at \((4.00 \mathrm{~mm}, 3. 00 \mathrm{~mm})\) due to the positive charge at the origin. (Assume the proton has been removed.)