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Let bara,barb,barc be unit vectors, equa...

Let `bara,barb,barc` be unit vectors, equally inclined to each other at an angle `theta " where " pi/4lethetalepi/2`. If these are the position vectors of the vertices of a triangle and `bard` is the position vector of the centroid of the tiangle then prove that the maximum value of `absbard " is " sqrt((sqrt2+1)/3`.

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