The charges and coordinates of two charged particles held fixed in an $x y$ plane are $q_{1}=+3.0 \mu \mathrm{C}, x_{1}=3.5 \mathrm{cm}, y_{1}=0.50 \mathrm{cm}$
and $q_{2}=-4.0 \mu \mathrm{C}, x_{2}=-2.0 \mathrm{cm}, y_{2}=1.5 \mathrm{cm} .$ Find the (a) magnitude and (b) direction of the electrostatic force on particle 2 due to particle $1 .$ At what $(\mathrm{c}) x$ and (d) $y$ coordinates should a third particle of charge $q_{3}=+4.0 \mu \mathrm{C}$ be placed such the net electrostatic
force on particle 2 due to particles 1 and 3 is zero?