Final answer:
The coordinates of the vertices of triangle A'B'C' after each movement can be determined by calculating the displacement vectors and adding them together.
Step-by-step explanation:
After each movement, the coordinates of the vertices of triangle A'B'C' can be determined based on the given information. Let's break it down step by step:
- Given that the displacement vector from the campsite to the rest point C' is ĎAC = 0.75ĎAB, we can calculate the coordinates of point C'.
- The displacement vector from the rest point C' to the point where the box is found, D, is given as ĎCD = -0.2ĎAB. Using this information, we can determine the coordinates of point D.
- Finally, to find the displacement vector ĎAD relative to the campsite, we add the displacement vectors ĎAC and ĎCD. This will give us the coordinates of point A'.
By following these steps, we can determine the coordinates of each vertex after each movement.