A point charge q₁ = - 4.00 nC is at the origin and a second point charge q₂ = + 6.00 nC is on the x axis at x = 0.800 m.

a) Where must a third charge q₃ = +2.00 nC be placed (to the left of q₁ , to the right of q₂, or in between q₁ and q₂) so that it does not experience any net electrostatic force due to the other two charges? Explain. Support your answer with a free-body diagram for q₃. Include in your Blackboard submission. b) Find the position of q₃ on the x axis where the net force on it is zero.

k = 8.99 10⁹ Nm² /C²

Express your answer with the appropriate units.