Let $u, v, w$ be three linearly independent vectors in ${\mathbb R}^7$. Determine whether the following sets of vectors are linearly independent or dependent.

Select an Answer Linearly Independent Linearly Dependent  1. The set $\{ u+v, v+w, w+u \}$

Select an Answer Linearly Independent Linearly Dependent  2. The set $\{ u-v, v-w, w-u \}$