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Three vectors veca, vecb and vecc sati...

Three vectors `veca`, ` vecb` and ` vecc` satisfy the condition ` veca+ vecb+ vecc= vec0`. Evaluate the quantity `mu= veca* vecb+vecb* vecc+vecc* veca`, if `| veca|=3,| vecb|=4`and `|vecc|=2`.

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To solve the problem, we need to evaluate the quantity \( \mu = \vec{a} \cdot \vec{b} + \vec{b} \cdot \vec{c} + \vec{c} \cdot \vec{a} \) given that \( \vec{a} + \vec{b} + \vec{c} = \vec{0} \) and the magnitudes \( |\vec{a}| = 3 \), \( |\vec{b}| = 4 \), and \( |\vec{c}| = 2 \). ### Step-by-Step Solution: 1. **Start with the given condition**: \[ \vec{a} + \vec{b} + \vec{c} = \vec{0} \] ...
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