|a̅| = |b̅| = |c̅| = 1 and |a̅ + b̅ + c̅|2 = 0, then find the value of a̅b̅ + b̅c̅ + c̅a̅. 

1
\(\frac 32\)
2
\(\frac {-3}{2}\)
3
\(\frac 12\)
4
\(\frac {-1}{2}\)

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