Hello, I have two different regions that I have checked by hand to see that they are indeed equal. However, RegionEqual is returning "false" for me. Can someone tell me what is happening? Details, including the by hand calculations are included below.

v1 = Simplify[{0 - 5/(74^(1/2)), 1 + 7/(74^(1/2)), 0}]
v2 = {0, 0, 1}
Lower2 = InfinitePlane[{5/(74^(1/2)), -7/(74^(1/2)), 0}, {v1, v2}]
Lower3 = InfinitePlane[{0, 1, 0}, {v1, v2}]
RegionEqual[Lower2, Lower3]

Lower2 is the plane described by the point p1 (below) with vectors v1 and v2 (above) while Lower3 is the plane described described by the point p2 (belows) with vectors v1 and v2 (above).

p1 = {5/Sqrt[74], -(7/Sqrt[74]), 0}
p2 = {0, 1, 0}

The normal vector is the same for each and it is the following:

Cross[v1, v2]

which returns:

{1 + 7/Sqrt[74], 5/Sqrt[74], 0}

Using the normal vector and the points, one can easily check by hand that these are in fact the same plane. Using the typical equation for the plane:

a(x - x1) + b(y - y1) + c(z - z1) = 0

where <a,b,c> is the normal vector and (x1, y1, z1) is a point on the plane, one can check the that p2 satisfies the equation for Lower2 and that p1 satisfies the equation for Lower3. I even graphed each region and they appear to be the same.

Show[Graphics3D[Lower2], Graphics3D[Lower3]]

Any help on this is appreciated!