Question

Find the distance between the points (4, 6, 2) and (1, 3,-5).

Short answer

The required distance is$\sqrt{67}$.

Step-by-step solution

Given information

Given two points in${\mathrm{ℝ}}^3,(4,6,2)and(1,3,-5)$

Finding the distance

As per formula, the required distance is:

$\sqrt{{(1-4)}^2+{(3-6)}^2+{(-5-2)}^2}$

Simplify:

$\sqrt{67}$