Question

Find the distance between the points (−2,3,5) and (1, 2, 3).​

Answer 1

Answer:

14 units

Step-by-step explanation:

this is the answer

Answer 2

Concept

The size of the line segment connecting two endpoints is the distance between them. There's only one line that connects the two endpoints. So, measuring the size of the line segment linking two places may be used to compute the distance between them.

Given

Two points (−2,3,5) and (1, 2, 3).​

Find

We are asked to find the distance between the points (−2,3,5) and (1, 2, 3).​

Solution

We will find the distance by using the follwoing formula

$\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}+ (z_{2}-z_{1})^{2} } \\=\sqrt{(1+2)^{2}+(2-3)^2+(3-5)^2 } \\=\sqrt{9+1+4}\\ =\sqrt{14}$

Hence the distance between the points (−2,3,5) and (1, 2, 3) is √14.