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If vector (a,b,c) are three vectors such that |vector a| = 5,|vector b| = 12 and |vector c| = 13 and vector(a + b + c) = 0,

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If vector (a,b,c) are  three vectors such that |vector a| = 5,|vector b| = 12 and |vector c| = 13 and vector(a + b + c) = 0, find the value of vector(a.b + b.c + c.a).

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Given vector

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