Determine the equation of the plane which distance to the origin is equal to 3 and passing through the intersection of the planes x+y+z-11 = 0 and
x-4y+5z-10=0
Help please!
Equation of system of planes containing the line of intersection of the two planes:
Expanding and collecting terms planes are:
Distance of point (0,0,0) from these planes:
Solve to find k={1, -47/139}. Hence equation of two planes with distance 3 and containing line of intersection of the two given planes are:
and:
NB.: Check the 2 planes if both are solutions