linear algebra
posted by Stephanies .
Find the equation of the plane for which each point is equidistant from P(2,1,1) and Q (4,7,9).
Show all work

Distance between two points in space,
D = √((x1x0)²+(y1y0)²+(z1z0)²)
Equate the distance between any point in the required plane, (x,y,z) and P(xp,yp,zp) to that between (x,y,z) and Q(xq,yq,zq) to get:
(xxp)²+(yyp)²+(zzp)² = (xxq)²+(yyq)²+(zzq)²
2x(xpxq)+2y(ypyq)+2z(zpzq)  (xp²xq²+yp²yq²+zp²zq²) = 0
Check my algebra.
Respond to this Question
Similar Questions

Linear Algebra
In 3space, a plane abc is spanned by three points a, b, c. The point x does not lie on this plane. I'm trying to find the formulas used to find the point p on abc with minimal distance to x. I know the point p must be perpendicular … 
Algebra
A ¡§lattice point¡¨ has integer coordinates. Then, A = (m, n) is a lattice point if both m and n are integers. Let¡¦s call a point P = (x, y) ¡§generic¡¦¡¦ if all the distances from P to lattice points are different. With … 
Linear algebra
find an equation of a plane containing a point (0,6,2) and parallel to vector v1= (0,3,0), v2=(0,9,1) Help! 
math
Given the linear equation y=3/2x+1, find the ycoordinates of the points (4), (2), and (6). Please show all of your work. Plot those points and graph the linear equation. 
prealgebra
Given the linear equation y=5x2. Find the ycoordinates of the points (1), (2), and (1). Please show all of your work. 
math
Given the linear equation , find the ycoordinates of the points (6, ), (3, ), and (3, ). Please show all of your work. Plot those points and graph the linear equation. 
algebra
Given the linear equation y = 4x + 2, find the ycoordinates of the points (2, ), (1, ), and (3, ). Please show all of your work. Plot these points and graph the linear equation. 
algebra
Given the linear equation y=3/5x4, find the ycoordinates of the points (5, ), (0, ), and (5, ). Please show all of your work. Plot those points and graph the linear equation. 
Algebra
Given the linear equation y=4/3x+1,find the ycoordinates of the points (6),(3) and (6).Show work.Plot these points and graph linear equation. 
Linear Algebra
Last number from the sample test! A plane P passes by the coordinates: A(1,0,7); B(2,1,0); C(0,0,3) Using the equation of the line D: x= 7+12t, y= 16t, z= 22t, Find the equation of a line that's entirely part of the plane P …