Must be future engineers...

[markem]

Originally Posted by QUAZY50

I must not understand this question then. If the answer is zero then they are the same point, making it one point. I would argue the answer, a straight line, is correct to the question you posed, otherwise there are not two points. (I am an electrical engineer, just out of school, but I got the degree lol.)

Am I wrong?

The question is "between two points" which means that you get to pick them. In this case, you pick them to be coincident since that would be the shortest distance (you can also place them infinitely close such that the distance approaches zero).

For "any two points" you do not get to pick the points, merely state that the distance (in 2 and 3 dimensional space but not in higher spaces) is represented by the straight line path between the two points.

The word "any" makes them completely different questions.