# Difference between revisions of "Math 22 The Three-Dimensional Coordinate System"

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<math>d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2}</math> | <math>d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2}</math> | ||

+ | |||

+ | '''Exercises 1''' Find the distance between two points | ||

+ | |||

+ | '''1)''' <math>(4,2,3) and <math>(1,2,0)</math> | ||

+ | {| class = "mw-collapsible mw-collapsed" style = "text-align:left;" | ||

+ | !Solution: | ||

+ | |- | ||

+ | |<math>d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2}=\sqrt{(1-4)^2+(2-2)^2+(0-3)^2}=\sqrt{18}</math> | ||

+ | |- | ||

+ | |} | ||

+ | |||

+ | '''2)''' <math>(1,2,4) and <math>(2,5,1)</math> | ||

+ | {| class = "mw-collapsible mw-collapsed" style = "text-align:left;" | ||

+ | !Solution: | ||

+ | |- | ||

+ | |<math>d=\sqrt{(2-1)^2+(5-2)^2+(1-4)^2}=\sqrt{19}</math> | ||

+ | |- | ||

+ | |} | ||

+ | |||

+ | ==Midpoint Formula in Space== | ||

+ | |||

## Revision as of 07:31, 18 August 2020

## The Three-Dimensional Coordinate System

## The Distance and Midpoint Formulas

The distance between the points and is

**Exercises 1** Find the distance between two points

**1)**

Solution: |
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**2)**

Solution: |
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## Midpoint Formula in Space

**This page were made by Tri Phan**