 My Math Forum 2 Points in R3 and 1 point on plane. How to find equation of plane?

 Linear Algebra Linear Algebra Math Forum

 October 3rd, 2015, 01:59 PM #1 Newbie   Joined: Feb 2014 Posts: 15 Thanks: 0 2 Points in R3 and 1 point on plane. How to find equation of plane? Let P = (−1, 3, −2) and Q = (1, −1, 4) be points in R3. Let L be the plane consisting of all the points (x, y, z) such that the distance between (x, y, z) and P is the same as the distance between (x, y, z) and Q. Using the Euclidean Distance equation between (x,y,z) to P and (x,y,z) to Q and setting these equal to each other I was able to simplify it to what seems like the general equation of a plane. However I cannot picture geometrically how knowing these two distances results in the equation of a plane. October 3rd, 2015, 03:43 PM #2 Global Moderator   Joined: Dec 2006 Posts: 21,105 Thanks: 2324 L is the plane containing all the lines that are perpendicular bisectors of PQ. Thanks from extreme112 October 13th, 2015, 08:34 AM #3 Newbie   Joined: Sep 2015 From: New york Posts: 17 Thanks: 4 If instead P = (0,0,1) and Q=(0,0,-1) then it's pretty easy to visualize the solution as the plane z=0. By some suitable linear coordinate transformation, it's the same picture for general P and Q. Tags equation, find, plane, point, points Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post maulik13 Applied Math 4 September 20th, 2011 03:03 PM abrahamtim Linear Algebra 1 May 8th, 2011 10:14 AM wnzguitar Algebra 2 March 27th, 2011 07:11 AM Anonymouse7 Calculus 1 January 27th, 2010 11:38 AM aman_cc Applied Math 5 November 21st, 2009 02:06 AM

 Contact - Home - Forums - Cryptocurrency Forum - Top      