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polimi-cheatsheet
GitHub Repository: polimi-cheatsheet/GAL-cheatsheet
Path: blob/master/teoria/1.prodotto-scalare.tex
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\section{Proprietà del prodotto scalare}
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\begin{tabular}{l}
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$\product{\vec{v}}{\vec{w}} = \product{\vec{w}}{\vec{v}}$ \\
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$\product{t\vec{v}}{t\vec{w}} = t\product{\vec{v}}{\vec{w}}$ \\
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$\product{\vec{v}_1 + \vec{v}_2}{\vec{w}} = \product{\vec{v}_1}{\vec{w}} + \product{\vec{v}_2}{\vec{w}}$ \\
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$\product{t_1\vec{v}_1 + t_2\vec{v}_2}{\vec{w}} = t_1\product{\vec{v}_1}{\vec{w}} + t_2\product{\vec{v}_2}{\vec{w}}$ \\
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$\product{\vec{v}}{\vec{v}} \ge 0$ \\
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$\product{\vec{u}}{\vec{v} \times \vec{w}} = 0$ sse sono l.d. \\
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\end{tabular}
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