Question

A small drone is positioned at point A (3, −4, 2) relative to a fixed origin. A target is located at point B (1, 0, 2).

What is the shortest distance the drone needs to travel to reach the target, assuming it can fly directly?


Responses

13−−√ units
square root of 13 units

4 units
4 units

20−−√ units
square root of 20 units

32−−√ units

Answer 1

Distance = sqrt[(1−3)^2 + (0−(−4))^2 + (2−2)^2] = sqrt[(-2)^2 + 4^2 + 0^2] = sqrt(4+16) = sqrt(20) = 2√5 units.