Vectors 2 Question 15

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

(a) 32

(b) 32

(c) 53

(d) 53

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Answer:

Correct Answer: 15. a

Solution:

  1. cos(P+Q)+cos(Q+R)+cos(R+P)

=(cosR+cosP+cosQ)

Max. of cosP+cosQ+cosR=32

Min. of cos(P+Q)+cos(Q+R)+cos(R+P) is =32



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