(Solved): A linear dependence relation for a set of vectors \( \left\{\vec{v}_{1}, \vec{v}_{2}, \ldots, \vec ...

A linear dependence relation for a set of vectors \( \left\{\vec{v}_{1}, \vec{v}_{2}, \ldots, \vec{v}_{k}\right\} \) in \( \mathbb{R}^{n} \) is an equation of the form \( c_{1} \vec{v}_{1}+c_{2} \vec{v}_{2}+\ldots+c_{k} \vec{v}_{k}=\overrightarrow{0} \). where Mark the best choice. \( k-1 \) of the \( c_{i} \) weights are non-zero. exactly one of the \( c_{i} \) weights is non-zero. none of the \( c_{i} \) weights are non-zero. all of the \( c_{i} \) weights are non-zero. at least one of the \( c_{i} \) weights is non-zero.