Deep wrote: > Consider (1) below for the given conditions. > > x^6 + y^6 = z^6 (1) > > Conditions, x, y, z are real positive numbers. > > [...] > > Question Q1: Can x^3, y^3, z^3 in (1) and (2) be treated as vectors ?
Yes, any real number is a vector in the vector space of reals over the real (say) field of scalars.
-- [Dancing is] a perpendicular expression of a horizontal desire. G.B. Shaw quoted in /New Statesman/, 23 March 1962