1. The problem is to verify the direction "south-west" as an answer, likely related to a vector or navigation problem. 2. To cross-verify, we need the original problem statement or data (e.g., displacement vectors, angles, or coordinates). 3. Without the original problem, we assume "south-west" means a direction 45 degrees between south and west. 4. If the problem involves vector components, south-west corresponds to negative x (west) and negative y (south) components. 5. For example, if a vector has components $x = -a$ and $y = -a$ for some positive $a$, the direction is south-west. 6. To confirm, calculate the angle $\theta = \tan^{-1}(\frac{y}{x}) = \tan^{-1}(1) = 45^\circ$ below the negative x-axis, which matches south-west. 7. Therefore, if the vector components or directions match this, the answer "south-west" is correct. Final answer: The direction "south-west" is correct if the vector components or problem data correspond to equal negative x and y components.