How do we find the vector for this situation?
Andrea runs 2 km south, then turns around and runs 3 km north.
"the" vector?
There are two given, one pointing south and the other pointing north.
The resultant is the difference between them, since they point in opposite directions. so it is 1km north.
Disp. = -2i + 3i = +1i = 1km North.
To find the vector for this situation, we can break it down into two separate vectors - one for Andrea's movement south and another for her movement north.
1. Andrea runs 2 km south:
- We can represent this as a vector pointing downwards (south) with a magnitude of 2 km.
2. Andrea turns around and runs 3 km north:
- Since she is now moving in the opposite direction, we represent this vector as pointing upwards (north) with a magnitude of 3 km.
To combine these two vectors, we can add them together. Since they are in opposite directions, we subtract the magnitude of the first vector from the magnitude of the second vector:
- 3 km (north) - 2 km (south) = 1 km (north).
Therefore, the resulting vector for Andrea's movement is 1 km north.