Problem 10-38 Addition of Electric fields

Diagram of two negative charges.

Two negative charges have locations as shown in the Figure. Charge \(q_1\) is  \(-3.6\times 10^{-8} C;\) charge \(q_2\) is  \(-5.2 \times10^{-8} C.\) What is the electric field (magnitude and direction) at (a) \(\text{point A}\)? (b) \(\text{point B}\)?

The direction of the field \(E_1\) due to \(q_1\) at the \(\text{point A}\) is:

Three possible directions for electrical Field A, B, C.