The position vectors of three points A, B and C are a, b and c respectively, where c=( ^2 ) a+( ^2 ) b. What is ( a b)+( b c)+( c a) equal to?

NDA 2025 Mathematics question

The position vectors of three points , and are , and respectively, where . What is equal to?

Answer: (A)

, and $ c× a = (θ a+θ b)× a = θ (

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Question ID VK-030080