Direction Analysis of Chahak's Walk
To determine the direction from the final point B back to the starting point A, we can track Chahak's movement using coordinates. Assume Point A is the origin (0, 0).
Chahak's Movement Tracking
- Starts at A: Position (0, 0).
- Walks 6m South: Position becomes (0, -6). Facing South.
- Turns Left (now facing East), walks 5m: Position becomes (5, -6). Facing East.
- Turns Left (now facing North), walks 9m: Position becomes (5, -6 + 9) = (5, 3). Facing North.
- Turns Left (now facing West), walks 2m: Position becomes (5 - 2, 3) = (3, 3). Facing West.
- Turns Left (now facing South), walks 3m: Position becomes (3, 3 - 3) = (3, 0). This is Point B. Facing South.
Direction from B to A Calculation
Point A is at coordinates (0, 0).
Point B is at coordinates (3, 0).
To travel from Point B (3, 0) back to Point A (0, 0), we calculate the displacement vector:
- Change in x-coordinate (East/West): \(x_A - x_B = 0 - 3 = -3\)
- Change in y-coordinate (North/South): \(y_A - y_B = 0 - 0 = 0\)
The displacement vector from B to A is (-3, 0).
Direction from B to A
A change of \(-3\) in the x-coordinate signifies movement along the negative x-axis.
A change of \(0\) in the y-coordinate signifies no movement along the y-axis.
In standard conventions, the negative x-axis corresponds to the West direction.
Therefore, Chahak must walk West from point B to reach point A.
Similar Questions
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Important Questions from Direction and Distance
What is the direction of U with respect to P?
What is the shortest distance between R and T?
If a person walks 3m towards the North from point V, takes a right turn and walks for another 15m, which of the following points would he reach?
In which direction is Amit facing at point F?
What is the distance between the starting point and the end point?
