Let a and b be two vectors such that | a + b |^ 2 = | a |^ 2 + 2| b |^ 2 , a b = 3 and | a b |^ 2 = 75. Then | a |^ 2 is equal to _____.

JEE Main 2022 Mathematics question

Let and be two vectors such that , and . Then is equal to .

Answer: 14

gives \vec{b}\vec{a}$·

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Question ID VK-035074