Final answer:
The question relates to performing a dilation on a polygon, but the necessary information about the scale factor and center of dilation is missing. Therefore, it is not possible to provide the coordinates of the vertices after dilation without additional data.
Step-by-step explanation:
The question concerns the application of dilation to a polygon with given vertices in a coordinate plane. To find the vertices of the polygon after dilation, we need specific information about the scale factor and the center of dilation.
However, the provided data relating to displacement vectors and the magnitude of displacement pertains to physics and is not directly applicable to the geometric transformation of dilation.
Without the scale factor or the center of dilation, it is impossible to provide the coordinates of the dilated polygon's vertices. If these were provided, the dilation process typically involves multiplying the coordinates of each vertex by the scale factor (if the center of dilation is at the origin), or applying a more complex formula if the center of dilation is not at the origin.