Consider two charged particles, one at the position x $=4\mathrm{.}3$ cm$,$ y $=0\mathrm{.}0$ cm and another at position x $=0\mathrm{.}0$ cm and y $=2\mathrm{.}7$ cm$.$ Each particle has a charge of $+10\mathrm{.}2\backslash$mu C$.$ There is a third charged particle with a charge of $-4\mathrm{.}7\backslash$mu C at the origin $($x $=0\mathrm{.}0$ cm$,$ y $=0\mathrm{.}0$ cm$)\mathrm{.}1.$ Separately calculate the magnitude of each particle$$s electric force acting on the particle at at the origin $(0,0)\mathrm{.}2.$ Calculate the vector sum of these two forces $($magnitude and direction$),$ again on the charge at $(0,0).$Hint $1$: The positions of these particles are chosen such that the two vectors F$1$ and F$2$ point along the x and y axes, respectively. This makes the sum of the two vectors less tricky to calculate.