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If a,b,c be non-zero vectors such that a...

If a,b,c be non-zero vectors such that a is perpendicular to b and c and `|a|=1,|b|=2,|c|=1,b*c=1` and there is a non-zero vector d coplanar with a+b and 2b-c and `d*a=1`, then minimum value of |d| is

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