Find the scalars \( \alpha \) and \( \beta \) if \( \vec{a} \times(\vec{b} \times \vec{c})+(\vec...
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Find the scalars \( \alpha \) and \( \beta \) if \( \vec{a} \times(\vec{b} \times \vec{c})+(\vec{a} \cdot \vec{b}) \vec{b}=(4-2 \beta \) \( -\sin \alpha) \vec{b}+\left(\beta^{2}-1\right) \vec{c} \&(\vec{c} \cdot \vec{c}) \vec{a}=\vec{c} \) while \( \vec{b} \& \vec{c} \) are non-zero non-collinear vectors.
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