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March 7th, 2012, 04:31 AM  #1 
Newbie Joined: Mar 2012 Posts: 4 Thanks: 0  I want to find the distance in algebra find it
Find the distance between the points (4 , 5) and (1 , 1)in algebra please give answer

March 7th, 2012, 04:51 AM  #2 
Global Moderator Joined: Dec 2006 Posts: 19,882 Thanks: 1835 
5

March 7th, 2012, 07:13 AM  #3 
Global Moderator Joined: Nov 2009 From: Northwest Arkansas Posts: 2,766 Thanks: 4  Re: I want to find the distance in algebra find it
I keep getting 5.07 for some reason. I'd better go edit the wikipedia page for pythagorean triples!

March 7th, 2012, 07:15 AM  #4 
Global Moderator Joined: Nov 2009 From: Northwest Arkansas Posts: 2,766 Thanks: 4  Re: I want to find the distance in algebra find it
It appears that our friend kevin is no longer with us :P 
March 7th, 2012, 02:05 PM  #5  
Global Moderator Joined: May 2007 Posts: 6,628 Thanks: 622  Re: I want to find the distance in algebra find it Quote:
 
March 7th, 2012, 02:18 PM  #6  
Global Moderator Joined: Dec 2006 Posts: 19,882 Thanks: 1835  Quote:
 
March 7th, 2012, 09:09 PM  #7 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,205 Thanks: 512 Math Focus: Calculus/ODEs  Re: I want to find the distance in algebra find it
Based on the trivial nature of the problems posted, I doubt this user will want to come back if not allowed to spam our forum. The easiest, most straightforward way by far to find the given distance above is to employ a translation, then a rotation of axes. Translation: X = x + 4 Y = y + 5 Now the points are: (0,0), (3,4) See how we craftily made the point to the lower left the new origin? Rotation where ? = arctan(4/3) to put both points on the Xaxis: X = x·cos(?) + y·sin(?) = (3/5)x + (4/5)y Y = x·sin(?) + y·cos(?) = (4/5)x + (3/5)y Now we have reduced the problem to one dimension and the points are (0), (5) Now the distance is d = 5  0 = 5. Trying to find the distance between two arbitrary points in twodimensional space is far too messy to contemplate. 
March 8th, 2012, 06:15 AM  #8 
Global Moderator Joined: Dec 2006 Posts: 19,882 Thanks: 1835 
You might like Mathematics Made Difficult by Carl E. Linderholm . . . random quotes: "a little topological group representation theory is not amiss if you happen to end up a quantum mechanic, repairing other people's quanta when they begin to wear out" and "in a mathematical discussion, a chicken is often as much use as a man and makes comments of about equal intelligence." It contains plenty of mathematics, but has the occasional mistake, such as "The square root of 7 is obviously 2."

March 8th, 2012, 06:53 AM  #9  
Global Moderator Joined: Nov 2009 From: Northwest Arkansas Posts: 2,766 Thanks: 4  Re: I want to find the distance in algebra find it Quote:
Seriously. Give me some credit, here! (Or is it wrong of me to slip wrong answers in when dealing with a spammer?)  

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