Unit Orthogonal vectors

u = Vector((1, -1, 1))
v = Vector((0, 4, 4))
w = Vector(((-(2 / sqrt(6))), (-(1 / sqrt(6))), 1 / sqrt(6)))
a = Vector((2 / sqrt(6), 1 / sqrt(6), (-(1 / sqrt(6)))))
p = Plane((0, 0, 0), (1, -1, 1), (0, 4, 4))