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Prove that vec(a)xx(vec(b)+vec(c))+vec...

Prove that
`vec(a)xx(vec(b)+vec(c))+vec(b)xx(vec(c)+vec(a))+vec(c)xx(vec(a)+vec(b))=0`

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To prove the equation \[ \vec{a} \times (\vec{b} + \vec{c}) + \vec{b} \times (\vec{c} + \vec{a}) + \vec{c} \times (\vec{a} + \vec{b}) = 0, \] we will start by expanding each term on the left-hand side (LHS) using the distributive property of the cross product. ...
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