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The vectors bar(a),bar(b)&bar(c) each tw...

The vectors `bar(a),bar(b)&bar(c)` each two of which are non collinear. If `bar(a)+bar(b)` is collinear with `bar(c),bar(b)+bar(c)` is collinear with `bar(a)&|bar(a)|=|bar(b)|=|bar(c)|=sqrt(2)` .Then the value of `|bar(a).bar(b)+bar(b).bar(c)+bar(c).bar(a)|=`

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