If `vecx . Veca =0, vecx. Vecb=0 and vecx. vecc=0` for some non-zero vector `vecx`. Then prove that `[veca vecb vecc] = 0`

Explanation

Since, `vecx` is a non-zero vectors, the given conditions will be satisfied if eitherm (i) vectors, `veca , vecb and vecc` are zero or (ii) `vecx` is perpendicular to vectors, `veca, vecb and vecc`.
in case (ii) `veca , vecb and vecc` are coplanar and so `[veca vecb vecc] =0`