#$1$ A positive charge $q_1$ experiences electric forces from two other positive charges, $q_2$ and

$q_3.$ All three have the same amount of charge $(q_1=q_2=q_3).$ The three figures below

show $q_1,q_2,$ and the direction of the net force on $q_1$ due to both $q_2$ and $q_3.$ In each case,

$q_2$ has been positioned so as to create one of the components of the net force. Add $q_3$ to

each figure such that its force on $q_1$ creates the other component and gives the net force

the angle shown. For full points, you must have $q_3$ at the correct distance from $q_1,$ show

how you calculated that distance, and include an explanation of how you determined

your answer.