Displacement vectors of 6 km South 2 km North, 7 km South, and 5 km North combine to a total displacement of 6 km South.
Answer: Option A
Explanation:
The displacement vector represents the location change: the distance of separation from the start point to the end point is the displacement vector’ magnitude, and travelled direction denotes the displacement vector’ direction.
In figure, the illustration shows a new vector for the entire journey from beginning to end. In other words, C = A + B. The C vector is called the sum, or resultant vectors. When applying this concept to the given question, we can find the total displacement vector value. It is as follows:
Given:
6 km South 2 km North, 7 km South, and 5 km North
Total displacement, s = 6 km South - 2 km North + 7 km South - 5 km North
North and south lie in an opposite direction. Therefore, when combining all distances negative sign mentioned to denote the direction.
Total displacement, s = 13 km South - 7 km North
Total displacement, s = 6 km South
