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Prove that [vec(a)+vec(b),vec(b)+vec( c)...

Prove that `[vec(a)+vec(b),vec(b)+vec( c) , vec( c) +vec(a)] =2 [vec(a),vec(b),vec(c )]`.

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`[vec(a) +vec(b),vec(b) +vec ( c) ,vec (c ) +vec(a)]=(vec(a)+vec(b)).{(vec(b)+vec( c))xx(vec ( c) +vec (a))}=(vec(a)+vec(b)).{vec(b)xxvec (c ) +vec(b)xxvec(a)+vec( c) xx vec( c) +vec (c ) xxvec (a) }`.
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SUBHASH PUBLICATION-VECTOR ALGEBRA -TWO MARKS/THREE MARKS QUESTIONS WITH ANSWERS
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