Vani starts from point A and drives towards West. She then takes a left turn, drives . She then turns left and drives to reach point B. In which direction is point B with respect to point A?
- ANorth
- BSouth-west
- CSouth
- DSouth-east
Solution & Step-by-step Explanation
Let us track Vani's movement step-by-step considering point A as the origin :
1. Starts at point A:
2. **Drives West:** Moves horizontally to the left. New position is .
3. **Takes a left turn and drives :** Facing West, a left turn points towards the South. New position is .
4. **Turns left and drives to reach point B:** Facing South, a left turn points towards the East. New position becomes:
Point B is located at . Comparing this with point A , point B lies directly along the negative y-axis.
Therefore, point B is in the South direction with respect to point A.
1. Starts at point A:
2. **Drives West:** Moves horizontally to the left. New position is .
3. **Takes a left turn and drives :** Facing West, a left turn points towards the South. New position is .
4. **Turns left and drives to reach point B:** Facing South, a left turn points towards the East. New position becomes:
Point B is located at . Comparing this with point A , point B lies directly along the negative y-axis.
Therefore, point B is in the South direction with respect to point A.