Q 6 TB - Calculus

Question

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

Step-by-Step Solution

Answer

The required distance is $\sqrt{17}.$

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:

$\sqrt{17}$