1. **State the problem:** We need to find the position vector of point B relative to point A given certain vectors or coordinates (not explicitly provided in the question). 2. **Identify given data:** Since the problem states "Given , , , and ," but does not specify the vectors or coordinates, let's assume the vectors are \( \vec{r}_A \) and \( \vec{r}_B \) or vectors describing points A and B. 3. **Position vector of B relative to A:** The position vector of point B relative to point A is given by: $$\vec{r}_{B/A} = \vec{r}_B - \vec{r}_A$$ 4. **Explanation:** This means we subtract the coordinates or vector components of point A from those of point B to get the vector pointing from A to B. 5. **Final answer:** Without explicit values, the position vector of B relative to A is: $$\boxed{\vec{r}_{B/A} = \vec{r}_B - \vec{r}_A}$$ If you provide the specific vectors or coordinates, I can compute the exact vector.