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If bar a,bar b and bar c are perpendicu...

If `bar a,bar b and bar c` are perpendicular ,`bar c+bar a, bar b+bar c and bar a+bar b` +respectively and if `|bar a+bar b|=6,|bar b+bar c|=8 and |bar c+bar a|=10` , then `|bar a+bar b+bar c|` is equal to

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