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Prove that [ veca+ vecb , vecb+ vecc , v...

Prove that `[ veca+ vecb , vecb+ vecc , vecc+ veca]=2[ veca , vecb , vecc]`.

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To prove that \([ \vec{a} + \vec{b}, \vec{b} + \vec{c}, \vec{c} + \vec{a}] = 2[\vec{a}, \vec{b}, \vec{c}]\), we will follow these steps: ### Step 1: Write the Left-Hand Side (LHS) The LHS of the equation is given by: \[ [\vec{a} + \vec{b}, \vec{b} + \vec{c}, \vec{c} + \vec{a}] \] ...
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