Question

Find the distance between the points (5,-2,-1) and (3, 0,-4).

Short answer

The required distance is$\sqrt{17}.$

Step-by-step solution

Given information

The given points are (5,-2,-1) and (3, 0,-4).

Finding the distance

The distance between the given points is:

$\sqrt{{(3-5)}^2+{(0-(-2\left)\right)}^2+{(-4-(-1\left)\right)}^2}$

Simplifying:

$\sqrt{4+4+9}$

Simplifying further:

$\sqrt{17}$