Players on a field: Q is East of P, R is South of P, S is North of P. In which direction from Q is S located?

Difficulty: Easy

Correct Answer: North-West

Explanation:

Introduction / Context:Place P at the origin. The relative positions of Q, R, and S are then simple compass offsets. The question asks for the direction of S as viewed from Q.

Given Data / Assumptions:

  • P at (0,0).
  • Q East of P → (1,0).
  • S North of P → (0,1).

Concept / Approach:Vector from Q to S = S − Q = (0 − 1, 1 − 0) = (−1, +1), which is the North-West direction.

Step-by-Step Solution:Q → (1,0); S → (0,1).Q→S = (−1, +1).Negative x and positive y ⇒ North-West.

Verification / Alternative check:A quick diagram confirms S lies up and to the left of Q.

Why Other Options Are Wrong:North/South/South-East do not match the (−x, +y) vector.

Common Pitfalls:Answering “North of P” instead of “direction from Q.”

Final Answer:North-West

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