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(a) Cauchy-Schwarz Inequality Use the fact that $mathbf{u} cdot mathbf{v}=|mathbf{u} |/mathbf{v} cos theta$ to show that the inequality $|mathbf{u} cdot mathbf{v}| leq]mathbf{u} ]]mathbf {v}[$

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(a) Cauchy-Schwarz Inequality Use the fact that $\mathbf{u} \cdot \mathbf{v}=\|\mathbf{u} \|\/\mathbf{v} \ \cos \theta$ to show that the inequality $|\mathbf{u} \cdot \mathbf{v}| \leq\]\mathbf{u} \]\]\mathbf {v}\[$ holds for any vectors $\mathbf{u}$ and $\mathbf {v}$. Solution (b) Under what circumstances does $/\mathbf{u} \cdot \mathbf {v}]$ equal $\/\mathbf{u} \\/\mathbf{v}\[ ?$ Justify. Solution. CS.VS. 1581

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