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If bar(a),b&bar(c) are three vectors suc...

If `bar(a),b&bar(c)` are three vectors such that,`|bar(a)|=3,|bar(b)|=4&|bar(c)|=sqrt(24)` and sum of any two vectors is orthogonal to the third vector, then `|bar(a)+bar(b)+bar(c)|` is equal to

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