Taking the origin as the point where the north-south and east-west axes meet; the direction of the positive x-axis as the east and the direction of the positive y-axis as the north the vector representing the position of the first airplane which has travelled 250 km towards the east is...

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Taking the origin as the point where the north-south and east-west axes meet; the direction of the positive x-axis as the east and the direction of the positive y-axis as the north the vector representing the position of the first airplane which has travelled 250 km towards the east is 250i, and the vector representing the position of the second airplane which has travelled 180 km towards the north is 180j.

The difference between the two is the vector 250i - 180j

The magnitude of the difference of these vectors is |250i - 180j| = sqrt (250^2 + 180^2) = 308.05 km.

**The required vector difference is 250i - 180j, and this represents displacement between the positions of the two airplanes.**