JEE Main 2024 Mathematics question

MathematicsVector AlgebraJEE Main 2024

Let , and , be three vectors such that . If the angle between the vector and the vector is θ, then the greatest integer less than or equal to tan²θ is .

Answer: 38

Solution

gives , ; cos θ = 7/√(74 × 26), so tan²θ = 1875/49 ≈ 38.3.

Question ID VK-011214