Question

Six point charges of equal magnitude q are at the corners of a regular hexagon that has sides of length d. All the odd number charges are positive and all the even number charges are negative (so that there are three positive and three negative charges and there is a negative change in between every positive charge on the corners of the hexagon). There is a charge of magnitude q in the center that is positive. What is the net force on the central charge? What is an electric field? Illustrate an electric field by describing the electric field the center charge is feeling?

I think the net force is zero (by symmetry) but I'm not sure. Also, I am not sure how to answer the two questions about the electric field. Thanks in advance.