On multiplicative dependent vectors with coordinates from certain higher order recurrences

In this paper, we prove that there are finitely many multiplicative dependent vectors with coordinates from non-degenerate linear recurrence sequences Formula: see text of a fixed order Formula: see text These sequences satisfy the recurrence relation Formula: see text with initials Formula: see text Formula: see text. Here, the coefficients of the recurrence relation are positive integers satisfying Formula: see text or Formula: see text In both these conditions, Formula: see text