Three +2 C point charges are fixed in space in the following locations: the first at <1, 0, 0> cm, second at <0, 2, 0> cm, and a third at <-4, 0, 0> cm.

(a) Find the net electric field at positions <0, 0, 0> cm and <-1, 1, 0> cm.

(b) For each location where you found the electric field, what is the force on a -3 C test charge.

(c) Use the sign sense-making technique to check that your answer to part (b) is consistent with your answer to part (a).