A charge $5\mathrm{.}03$ nC is placed at the origin of an $xy-$coordinate system, and a charge $-1\mathrm{.}95$ nC is placed on the positive $x-$axis at $x=4\mathrm{.}01cm.$ A third particle, of charge $6\mathrm{.}03$ nC is now placed at the point $x=4\mathrm{.}01cm,y=3\mathrm{.}00cm.$

Part A

Find the $x-$component of the total force exerted on the third charge by the other two. Express your answer in newtons.

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Part B

Find the $y-$component of the total force exerted on the third charge by the other two.

Express your answer in newtons