Helena's motions, including the 6 units north, 4 and 1, east, 3 and 3 south gives;
- (5, 0)
- 5 units to the south
- Adding the motions based on their directions
How can the position of Helena be found?
1. Let the coordinates of checkpoint B be (0, 0), using vectors, we have;
[tex]6 \times j \: + 4 \times i - 3 \times j \: + i - 3 \times j = 0 \times j \: + 5 \times i[/tex]
The coordinates of checkpoint C is therefore; (5, 0)
2. The easier way to get to checkpoint C from point B is to go south 5 units.
3. How it is possible to figure out the shortest route is by taking the northwards and eastwards motions as positive numbers, and the motions to the south as negative.
The motions to the north can only be added to the motions to the south (motions in the same straight line) and the motions towards east are to be added to themselves.
Learn more about vectors here:
https://brainly.com/question/24855749