The planes: 2x – y + 4z = 5 and 5x – 2.5y + 10z = 6 are
Given -
First Plane is
2x – y + 4z = 5
Multiply both sides by 2.5, we get -
5x - 2.5y + 10z = 12.5 …(1)
Second Plane is
5x – 2.5y + 10z = 6 …(2)
Clearly, the direction ratios of normals of both the plane (1) and (2) are same.
Hence, Both the given planes are parallel.