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Let O be the origin and vec(OX) , vec(O...

Let O be the origin and` vec(OX) , vec(OY) , vec(OZ)` be three unit vector in the directions of the sides `vec(QR) , vec(RP),vec(PQ)` respectively , of a triangle PQR.
if the triangle PQR varies , then the manimum value of `cos (P+Q) + cos(Q+R)+ cos (R+P)` is

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