My Math Forum  

Go Back   My Math Forum > College Math Forum > Real Analysis

Real Analysis Real Analysis Math Forum


Thanks Tree2Thanks
  • 2 Post By tahirimanov19
Reply
 
LinkBack Thread Tools Display Modes
October 10th, 2019, 03:01 AM   #1
Senior Member
 
Joined: Dec 2015
From: somewhere

Posts: 734
Thanks: 98

Distance from point

Given point in space $\displaystyle P(x_0 , y_0 , z_0 )$ , find the minimal distance between point and sphere: $\displaystyle (x - a)^2 + (y - b)^2 + (z - c)^2 = r^2$.
idontknow is offline  
 
October 10th, 2019, 03:21 AM   #2
Senior Member
 
Joined: Mar 2015
From: Universe 2.71828i3.14159

Posts: 132
Thanks: 49

Math Focus: Area of Circle
The minimal distance between point and sphere lies on a line which passes through the center of the circle. So, find the length of the segment PC (C is the center of the sphere), then subtract r.

$MinimalDistacle=|PC-r|$

Last edited by skipjack; October 10th, 2019 at 06:39 AM.
tahirimanov19 is offline  
October 10th, 2019, 03:59 AM   #3
Senior Member
 
Joined: Dec 2015
From: somewhere

Posts: 734
Thanks: 98

The problem looks hard but it is easily solved .
idontknow is offline  
Reply

  My Math Forum > College Math Forum > Real Analysis

Tags
distance, point



Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
Distance from point to plane marks2014 Geometry 3 May 9th, 2014 10:49 AM
Nearest distance from point to point on line abcdefgh123 Algebra 2 January 4th, 2014 03:08 PM
Distance between a point and a line ? BattalGazi Algebra 16 March 30th, 2012 03:21 AM
distance between point and a line arnav.akash9 Algebra 1 November 16th, 2009 11:27 PM
Distance from point to line greg1313 Algebra 2 November 5th, 2008 01:58 PM





Copyright © 2019 My Math Forum. All rights reserved.