Question

Find the distance between the points (-5, 7, 0) and (0, 6,-3).

Short answer

The required distance is$\sqrt{35}$

Step-by-step solution

Given information

The given points in${\mathrm{ℝ}}^{3}are(-5,7,0)and(0,6,-3).$

Finding the distance

As per the formula, the required distance is:

$\sqrt{(0-{(-5))}^2+{(6-7)}^2+(-{3-0)}^2}$

Simplifying:

$\sqrt{35}$