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SR. TEACHER (SEC. EDU.) COMP. EXAM 2025 2026 question with answer

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Question 8

Q8.a⃗, b⃗ तथा c⃗ तीन इकाई सदिश इस प्रकार हैं कि |a⃗ + b⃗ + c⃗| = 2। a⃗, b⃗ के लम्बवत है। यदि c⃗, a⃗ व b⃗ के साथ क्रमशः α व β कोण बनाता हो, तो (cos²α − cos²β + cos β) का मान है —