[Solution] Determine if the set of points is affinely dependent. If so, construct an affine dependence relation for the points of the form c_1 \vecv_1+c_2
Question: Determine if the set of points is affinely dependent. If so, construct an affine dependence relation for the points of the form \(c_{1} \vec{v}_{1}+c_{2} \vec{v}_{2}+c_{3} \vec{v}_{3}+c_{4} \vec{v}_{4}=\overrightarrow{0}\). Show all work
\[\vec{v}_{1}=\left[\begin{array}{c} -2 \\ 5 \\ 3 \end{array}\right], \vec{v}_{2}=\left[\begin{array}{c} 0 \\ -3 \\ 7 \end{array}\right], \vec{v}_{3}=\left[\begin{array}{c} 1 \\ -2 \\ -6 \end{array}\right], \vec{v}_{4}=\left[\begin{array}{c} -2 \\ 7 \\ -3 \end{array}\right]\]
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