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Two charges are located on the $x$ axis: $q_1=+4\mathrm{.}5C$ at $x_1=+5\mathrm{.}5cm,$ and $q_2=+4\mathrm{.}5C$ at $x_2=-5\mathrm{.}5cm.$ Two other charges are located on

the $y$ axis: $q_3=+2\mathrm{.}5C$ at $y_3=+4\mathrm{.}7cm,$ and $q_4=-9\mathrm{.}9C$ at $y_4=+7\mathrm{.}2cm.$ Find $($a$)$ the magnitude and $($b$)$ the direction of the net electric

field at the origin.

$($a$)$ Number

Units

$($b$)$ The net electric field points