Direction sense — Prerna's school relative to home From home, Prerna goes North, then turns left, then turns right, and finally turns left and reaches school. In which direction is the school from her home?

Difficulty: Medium

Correct Answer: North– West

Explanation:


Introduction / Context:
The task is to determine net bearing from the start after a sequence of orthogonal moves with unspecified distances.



Given Data / Assumptions:
Sequence of headings: North → West → North → West.



Concept / Approach:
Combine qualitative components: North + West displacements yield a northwest resultant from the origin.



Step-by-Step Solution:
1) Move North (some distance).2) Left to West (some distance).3) Right to North (some distance).4) Left to West and arrive at school.Net: Positive North and negative West components ⇒ North–West of home.



Verification / Alternative check:
Vector addition with arbitrary positive distances shows resultant quadrant is NW.



Why Other Options Are Wrong:
NE/SE/SW represent different component signs; only NW matches two West and two North segments.



Common Pitfalls:
Equating last facing (West) with relative position; question asks relative direction from home.



Final Answer:
North– West

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