jee_main_2026_22_january_evening - Vector Algebra Topics

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QUESTION #8 Vector Dot Product and Cross Product
Let a = 2 i - j + k and b = λ j + 2 k, λ in Z be two vectors. Let c = a × b and d be a vector of magnitude 2 in yz-plane. If | c| = √(53), then the maximum possible value of ( c · d)² is equal to:
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QUESTION #21 Angle Between Vectors
Let a vector a = √(2) i - j + λ k, λ > 0, make an obtuse angle with the vector b = -λ² i + 4√(2) j + 4√(2) k and an angle θ, (π)/(6) < θ < (π)/(2), with the positive z-axis. If the set of all possible values of λ is (α, β) - γ, then α + β + γ is equal to ____.
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Rankbit System
JEE Physics: Waves (+15.5%) | Electrostatics: Concentric Shells (-29.7%) | Modern Physics: Photoelectric Clones (+34.2%) | Mathematics: Definite Integrals (+18.1%) | Chemistry: Coordination Splitting (-11.4%) | JEE Physics: Waves (+15.5%) | Electrostatics: Concentric Shells (-29.7%) | Modern Physics: Photoelectric Clones (+34.2%) | Mathematics: Definite Integrals (+18.1%) | Chemistry: Coordination Splitting (-11.4%)

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