A student starts at the origin and ends up at a position 500 meters north of the origin. She knows she walked 250 meters straight west, but then she was blindfolded and led to the final position . Assume she walked a straight path for the hidden leg of the trip. What displacement vector did she move? North square South square East square West square

## Step 1: Identify the known vectors### The student walked 250 meters west and ended up 500 meters north of the origin. Represent these movements as vectors.## Step 2: Determine the final position vector### The final position vector is (0, 500) since the student is 500 meters north of the origin.## Step 3: Calculate the hidden leg vector### Subtract the known vector from the final position vector. The known vector is (-250, 0) since the student walked 250 meters west.## Step 4: Compute the hidden leg vector### The hidden leg vector is calculated as: ## Step 5: Determine the direction of the hidden leg vector### The hidden leg vector (250, 500) indicates movement 250 meters east and 500 meters north.