March 25th, 2017, 05:16 PM  #1 
Member Joined: Jan 2017 From: Toronto Posts: 61 Thanks: 1  Shortest distance to the origin
Find all points on the surface xy  z^2 + 1 = 0 that are closest to the origin. Answer: (0, 0, 1) and (0, 0, 1) Any tips would be much appreciated. 
March 25th, 2017, 05:34 PM  #2  
Math Team Joined: May 2013 From: The Astral plane Posts: 1,555 Thanks: 597 Math Focus: Wibbly wobbly timeywimey stuff.  Quote:
First find the distance from a point (the origin) to some place on the curve. You'll have to solve your equation for z to do this. Then you minimize the distance expression. Dan  
March 25th, 2017, 05:48 PM  #3 
Global Moderator Joined: May 2007 Posts: 6,216 Thanks: 493  
March 25th, 2017, 06:56 PM  #4  
Math Team Joined: May 2013 From: The Astral plane Posts: 1,555 Thanks: 597 Math Focus: Wibbly wobbly timeywimey stuff.  Quote: dan  

Tags 
distance, origin, shortest 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
shortest distance between 2 lines in 3space  Jimi  Algebra  2  November 4th, 2013 01:21 AM 
Shortest distance triangle  bracke  Algebra  3  May 10th, 2012 09:44 AM 
The shortest distance from Point A to the line...  DPXJube  Algebra  3  January 24th, 2011 06:53 PM 
shortest distance  mikeportnoy  Algebra  5  May 16th, 2010 02:56 PM 
shortest distance  arun  Algebra  6  March 4th, 2007 10:01 AM 