Locations around capital P: K is 2 km North-West of P; R is 2 km South-West of K; M is 2 km North-West of R; T is 2 km South-West of M. In which direction is T located relative to P?

Introduction / Context:All moves are equal-length diagonals on the 8-wind compass. Summing vectors shows a clean cancellation that leaves a pure West displacement from P to T.

Given Data / Assumptions:

• P at origin.
• NW and SW steps are of equal magnitude (2 km each).
• Sequence: NW, SW, NW, SW.

Concept / Approach:Represent NW = (−a, +a) and SW = (−a, −a) in equal components (a = 2/√2 km). Then add vectors.

Step-by-Step Solution:NW + SW = (−a, +a) + (−a, −a) = (−2a, 0) ⇒ pure West.There are two such pairs in the sequence, so total = (−4a, 0) ⇒ still due West.Therefore, T lies directly West of P.

Verification / Alternative check:Draw a square lattice: each NW followed by SW shifts two units left with no net vertical change; repeating twice doubles the West shift.

Why Other Options Are Wrong:South-West/North-West/North imply vertical offset, which cancels here.

Common Pitfalls:Mistaking diagonal sequences as arcs; they are straight line segments at 45°.

Final Answer:West