Let O be the origin, and \overrightarrow{OX},\overrightarrow{OY},\overrightarrow{OZ} be three unit vectors in the directions of the sides \overrightarrow{QR},\overrightarrow{RP},\overrightarrow{PQ},respectively of a triangle PQR. If the triangle PQR varies, then the minimum value of cos (P+Q)+ cos (Q+R) + cos (R+P) is [JEE Adv 2017 P2]

JEE Advanced 2017 Paper 2

Section: Mathematics

Question : 52 of 54

Marks: +1, -0

Let O be the origin, and

→

be three unit vectors in the directions of the sides

→

,respectively of a triangle PQR.

If the triangle PQR varies, then the minimum value of cos (P+Q)+ cos (Q+R) + cos (R+P) is

[JEE Adv 2017 P2]

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