This document outlines an experiment to determine whether taking different paths to the same destination affects the distance between the starting and ending points. Students will work in groups, each choosing a different path composed of x- and y-steps, and then add the results using vector addition to compare the total space between the points. They are asked to hypothesize the outcomes and show maps, calculations, and conclusions regarding vectors, scalars, distance, and displacement.

1. Vector Hunt
It’s not the path, but the
destination that matters…

2. Purpose:
To determine whether
the path taken to the
same destination
affects the distance
between those two
points

3. Instructions:
• Each group will choose a
different path to the same
destination
• Using only x- and y- steps,
make a map of your path
• Once we have done this three
times, we will add and vector
add your results.

4. Hypothesis…
How do you think taking
different paths to the
same point will affect
the space between those
two points?

5. Materials
•What will you need to
conduct this lab?

6. Data
•Draw a map
•Show all your
calculations
•Be neat and organized!

7. Conclusion
• What is the difference between
vectors and scalars?
• What is the difference between
distance and displacement?
• How does the total, final space
between the two points differ?
• Does the distance vary?
• Does the displacement vary?