displacement and distance

Question

1. Create a path of four displacements of equal distance that move from a position of (1, 1) m to a position of (2, 2) m. Note that there are many possible solutions.

Answer 1

Here is one such path:

1. (1, 1)→(3/2, 0)
2. (3/2, 0)→(2, 1)
3. (2, 1)→(3, 3/2)
4. (3, 3/2)→(2,2)

If you are interested in scaling by m you may do so. Each segment in this path is of length √5/2.