Posted by Shaila on Wednesday, September 1, 2010 at 3:08am.
Find the vector equation of the line of intersection for the pair of planes.
Plane one: x+5y3z8=0
Plane two: y+2z4=0
I did half of the work but now i am stuck.
the normal of the planes are not parallel and therefore a solution exists, you simultaneously solve the equations. I got 13z+12=0. Now if i let z = t then how do i find the 'y' and the 'x'

Math  Intersection of planes  MathMate, Wednesday, September 1, 2010 at 7:52am
You are almost there.
If you look at the system of equations of the planes
Plane one: x+5y3z8=0
Plane two: y+2z4=0
when converted to the reduced echelon form, you get
x + 0y 13z = 12
0x + y + 2z = 4
Take z as the free variable, (i.e. t) and solve for x and y in terms of t, and z equals t naturally. You will get the solution vector of (x,y,z) in terms of t. Transform this to the appropriate form for your answer.
Answer This Question
Related Questions
 Calculus  Consider the planes given by the equations 2y−2x−z=2 x&#...
 Math intersection of planes  Show that the line [x,y,z]=[10,5,16]+t[3,1,5] is ...
 Math  Perry draws two planes, K and L, as shown. Which statement is true? ...
 Vectors  which is not a possible type of intersection between three planes? a) ...
 Math  intersection of planes  You are given the following two planes: x+4y3z...
 Calc  Two commercial airplanes are flying at an altitude of 40,000 ft along ...
 Calc  Two commercial airplanes are flying at an altitude of 40,000 ft along ...
 maths  geometry  In a space with an orthonormal coordinate system consider the...
 calculus  Two commercial airplanes are flying at an altitude of 40,000 ft ...
 Math  intersection of planes  You are given the following two planes: x+4y3z...
More Related Questions