What is the straight-line distance between two points in space commonly called?

Get ready for the GARP Risk and AI Exam with flashcards and multiple choice questions. Each question comes with hints and explanations. Prepare for success!

Multiple Choice

What is the straight-line distance between two points in space commonly called?

The straight-line distance between two points in space is called Euclidean distance. It represents the shortest path directly along the line that connects the two points, and it aligns with the Pythagorean principle. In three dimensions, if the points have coordinates (x1, y1, z1) and (x2, y2, z2), the distance is sqrt((x2 − x1)² + (y2 − y1)² + (z2 − z1)²). In two dimensions, it’s sqrt((x2 − x1)² + (y2 − y1)²). This concept extends to higher dimensions in the same way. The other terms listed—allocation, recalculation, initialization—refer to unrelated operations and are not distances.

The straight-line distance between two points in space is called Euclidean distance. It represents the shortest path directly along the line that connects the two points, and it aligns with the Pythagorean principle. In three dimensions, if the points have coordinates (x1, y1, z1) and (x2, y2, z2), the distance is sqrt((x2 − x1)² + (y2 − y1)² + (z2 − z1)²). In two dimensions, it’s sqrt((x2 − x1)² + (y2 − y1)²). This concept extends to higher dimensions in the same way. The other terms listed—allocation, recalculation, initialization—refer to unrelated operations and are not distances.

More practice questions