Word Count : 207

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Let's manually solve the given vector operations step by step. ### Given vectors: \[ \mathbf{a} = \begin{pmatrix}1\\2\\3\end{pmatrix},\quad \mathbf{b} = \begin{pmatrix}-2\\1\\-3\end{pmatrix},\quad \mathbf{c} = \begin{pmatrix}-2\\-1\\1\end{pmatrix} \] --- ### 1. Compute \( 2\mathbf{a} - 5\mathbf{b} \) First, ______ _______ ____ _______ ________ __________.
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