Composite diagonal walks and return heading: Sitara walks 45 m North-West, then 45 m South-West, then 45 m South-East, then turns towards her uncle's house. In which direction is she now heading?

Introduction / Context:
Use vector addition for diagonal moves at 45° to axes, then compute the heading to the origin (uncle's house).

Given Data / Assumptions:

• Let uncle's house be origin (0,0).
• NW = (−1, 1), SW = (−1, −1), SE = (1, −1) in scaled units.

Concept / Approach:
Compute position after three equal diagonal legs, then the direction from that point back to the origin.

Step-by-Step Solution:

Verification / Alternative check:
Equal x and y positive components from current point indicate NE.

Why Other Options Are Wrong:
They correspond to other quadrants.

Common Pitfalls:
Adding diagonals as if axis-aligned or forgetting that final leg is “towards uncle's house”.

Final Answer:
North-East