For any three vectors ` veca , vec b , vec c` show that ` vecaxx( vec b+ vec c)+ vec bxx( vec c+ vec a)+ vec cxx( vec a+ vec b)= vec0`

Explanation

To show that

\[ \vec{A} \times (\vec{B} + \vec{C}) + \vec{B} \times (\vec{C} + \vec{A}) + \vec{C} \times (\vec{A} + \vec{B}) = \vec{0} \]

we will use the properties of the cross product.

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