Question

Jason hiked 1 mile north across a field, then 1 more mile west through the woods. How would you determine his total displacement? O A. Add 1 and 1. B. Draw a vector from his starting point to his ending point. O C. Use matrix addition to add 1 and 1. D. Draw a vector going 2 miles northwest.

Answer 1

Draw a vector from his starting point to his ending point. Option B is correct

Explanations:

If Jason hiked 1 mile north across a field, then 1 more mile west through the woods, the vector representation is given as:

Note that the displacement is the distance traveled in a specified direction. The total displacement is therefore the shortest distance Jason should have taken to take him to his destination which is the distance from the starting point to his ending point.

Hence the total displacement is the vector drawn from his starting point to his ending point.