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Q.If a\vec{a}, b\vec{b}, c\vec{c} are three vectors such that a+b+c=0\vec{a} + \vec{b} + \vec{c} = \vec{0}, then a×b+b×c+c×a=\vec{a} \times \vec{b} + \vec{b} \times \vec{c} + \vec{c} \times \vec{a} =

a
0\vec{0}
b
2(a×b)2(\vec{a} \times \vec{b})
c
a×b\vec{a} \times \vec{b}
d
a+b+c\vec{a} + \vec{b} + \vec{c}

Correct Answer: Option A

The correct solution involves applying the fundamental concept to derive the final value step by step...

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