For the following pair of electric field intensity, E1 = 41r2cosθ ar + 9

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For the following pair of electric field intensity,
E1 = 41r2cosθ ar + 9.35r2sinθ aθ - (50cosφ -2) aφ V/m at (3,-4,2)
E2 = 111/(0.1π)(ρ2sin2φ aρ - 3ρ3cosφ aφ) - 500ρ2 az V/m at (1,1,1)

Determine:
a. a point charge Q1 and its location A that produces both E.
b. (using the value of Q1 and A in a) the location B of Q2 = 12uC so that E = E1 + E2 = 0 at (0,0,0).
c. (using the values of Q1 and A in a and Q2 and B in b) a point charge Q3 where it experiences a total force of 0.058N at (1,0,1).