xy yz zw wxSolutionWe know that the n vectors v1 v2 vn atr

{x-y, y-z, z-w, w-x}

Solution

We know that the n vectors v₁ , v₂ , ...,v_n atr linearly dependent if there exist n scalar a₁ , a₂, ..., a_n such that a₁ v₁+ a₂ v₂ + ... + a_n v_n = 0 . Here, we have ( x - y) + ( y - z) + (z - w) + (w - x) = 0 . Therefore, these vectors are linearly dependent .