Final answer:
The question pertains to Mathematics, focusing on coordinate geometry and vector displacement at the High School level. It requires plotting positions in a new frame of reference and calculating relative positions.
Step-by-step explanation:
The subject of this question is Mathematics, and it is suited for a High School grade level. The question involves calculating positions and displacements using a coordinate system, which is a fundamental concept in geometry and vectors. Although the provided text mentions different contexts such as houses and charges, the underlying mathematics of coordinate geometry remains the same.
Regarding part (a), to draw a frame of reference with house A as the origin and write down the positions of houses B, C, and D, we would simply use their given coordinates relative to house A (now considered (0,0)). For B, it would be (-3, 3), for C it would be (1, 5), and for D it would be (5, 2).
For part (b), your position relative to house E would be determined by subtracting the coordinates of house E from those of house C. Since house E's coordinates are not provided, we cannot complete this without additional information.
Finally, in part (c), to find the positions of houses A, C, and D relative to house B as the reference point, we would subtract the coordinates of house B from those of the other houses. Assuming house B is now the origin (0,0), we would adjust the coordinates accordingly.