Relative positions in a grid of points: Y is East of X; X is North of Z; P is South of Z. In which direction is P from Y?

Introduction / Context:Convert relational statements to coordinates and compute the vector from Y to P.

Given Data / Assumptions:

• Let Z = (0,0).
• X North of Z ⇒ X = (0,1).
• Y East of X ⇒ Y = (1,1).
• P South of Z ⇒ P = (0,-1).

Concept / Approach:Direction from Y to P is vector P − Y = (0−1, −1−1) = (−1, −2), which lies in the South-West quadrant.

Step-by-Step Solution:

Verification / Alternative check:Draw a quick sketch; Y at top-right of Z, P below Z; hence SW from Y.

Why Other Options Are Wrong:They place P in a different quadrant relative to Y.

Common Pitfalls:Reversing the requested direction (P from Y) vs (Y from P).

Final Answer:South-West