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If P + Q = Rand IPI = IQI = $\sqrt{3}$ and IRI = 3, then the angle between P and Q is

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Correct option is C

Resultant, R=P2+Q2+2PQcosθ3=(3)2+(3)2+2(3)(3)cosθSquaring both sides in the above equation, we get 9 = 3 + 3+ 6 cos θ⇒ cosθ=12⇒θ=60° or π3

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If P + Q = Rand IPI = IQI = 3 and IRI = 3, then the angle between P and Q is

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If P + Q = Rand IPI = IQI = $\sqrt{3}$ and IRI = 3, then the angle between P and Q is