If vectors a, b, c, are such that a + b + c = 0

Question

If vectors \(\vec{a},\;\vec{b}, \;\vec{c}\) are such that \(\vec{a} + \vec{b} + \vec{c} = \vec{0}\) then, find the value of  \(\vec{a} .\vec{b} + \vec{b} .\vec{c} + \vec{c}.\vec{a}\)

Answer 1

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