If $\vec{a},\vec{b}and\vec{c}$ are three non-zero non-coplanar vectors, then find the linear relation between the following four vectors: $\vec{a}-2\vec{b}+3\vec{c},2\vec{a}-3\vec{b}+4\vec{c},3\vec{a}-4\vec{b}+5\vec{c},7\vec{a}-11\vec{b}+15\vec{\cdot }$

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