JEE Main 2024 Mathematics question

MathematicsVector AlgebraJEE Main 2024

Let , and be a vector such that . If , then is equal to .

Answer: 30

Solution

(a + 2b) × c = −3(a × c) gives (4a + 2b) × c = 0, so c ∥ 2a + b = (4, −7, 15). With a·c = 130:

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Question ID VK-011575