Question

Which is the vector quantity that describes the shortest path between two points?

Answer 1

As a vector, in three dimensions, it is ds=(dx, dy, dz), where dx=x1-x2, etc. The locations are (x1, y1, z1) and (x2,y2,z2).

The length of the vector is the square root of the sum of the squared differences: |ds| = sqrt( dx^2 + dy^2 + dz^2).

Answer 2

that vector quantity is displacement