Answer the following problem. Show your complete solution. Answer legibly.

3. Three identical point charges each of charge q are located at the vertices of an equilateral triangle as shown in the Figure below. The distance from the center of the triangle to each vertex is a. (a) Show that the electric field at the center of the triangle is zero. (b) Find a symbolic expression for the electric potential at the center of the triangle.4. Find the work done in carrying a 5-C charge from P(1, 2, - 4 ) to R(3, - 5 , 6) in an electric field E = ax+ zay + 2yzaz V/m