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Let {O}be the origin, and {O}{X}{x}{O}{Y},{O}{Z}be three unit

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Let $O$ be the origin, and $O X x O Y, O Z$ be three unit vectors in the direction of the sides $Q R$ , $R P$ , $P Q$ , 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: $- \frac{3}{2}$ (b) $\frac{5}{3}$ (c) $\frac{3}{2}$ (d) $- \frac{5}{3}$

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Sebastian Discussed

Let

O

be the origin, and

O X x O Y, O Z

be three unit vectors in the direction of the sides

Q R

R P

P Q

, 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:

- \frac{3}{2}

(b)

\frac{5}{3}

(c)

\frac{3}{2}

(d)

- \frac{5}{3}

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Question Text	Let $O$ be the origin, and $O X x O Y, O Z$ be three unit vectors in the direction of the sides $Q R$ , $R P$ , $P Q$ , 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: $- \frac{3}{2}$ (b) $\frac{5}{3}$ (c) $\frac{3}{2}$ (d) $- \frac{5}{3}$
Answer Type	Video solution: 1
Upvotes	150