Three point charges are arranged along the x axis. Charge q ₁ = -4.60 nC is located at x= 0.240 m and charge q ₂ = 2.40 nC is at x= -0.300 m . A positive point charge q ₃ is located at the origin.

What must the value of q ₃ be for the net force on this point charge to have magnitude 3.60 μN ?

What is the direction of the net force on q ₃ ?

Where along the x axis can q ₃ be placed and the net force on it be zero, other than the trivial answers of x=+∞ and x=−∞?