Difficulty: Easy
Correct Answer: East
Explanation:
Introduction / Context:
This tests relative direction from the origin after multiple orthogonal moves.
Given Data / Assumptions:
Moves: +7 East → +4 North → +5 East → −4 North.
Concept / Approach:
Compute net displacement components (x, y) from the starting point.
Step-by-Step Solution:
East total = 7 + 5 = 12.North total = 4 − 4 = 0.Net vector = (12, 0), i.e., due East of the origin.
Verification / Alternative check:
Plotting on grid shows the final point lies on the same east–west line as the start, to its East.
Why Other Options Are Wrong:
North/South would require nonzero y; West contradicts the positive x result.
Common Pitfalls:
Forgetting that consecutive opposite vertical legs cancel.
Final Answer:
East
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