If the vectors a = 2î + λĵ + k̂ and b = î − 2ĵ + 3k̂ are perpendicular to each other, find the value of λ. A. 5/2 B. 3/2 C. −5/2 D. 2 Answer: A) 5/2 Explanation: For perpendicular vectors, a.b = 0. So, (2)(1) + (λ)(−2) + (1)(3) = 0 → 2 − 2λ + 3 = 0 → 5 = 2λ → λ = 5/2.

imo class 12 vector algebra

If the vectors a = 2î + λĵ + k̂ and b = î − 2ĵ + 3k̂ are perpendicular to each other, find the value of λ.

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If the vectors a = 2î + λĵ + k̂ and b = î − 2ĵ + 3k̂ are perpendicular to each other, find the value of λ.

Answer: A) 5/2

Explanation: For perpendicular vectors, a.b = 0. So, (2)(1) + (λ)(−2) + (1)(3) = 0 → 2 − 2λ + 3 = 0 → 5 = 2λ → λ = 5/2.

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