Ex 10.3, 18 - If a is a nonzero vector of magnitude a - Ex 10.3

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  1. Chapter 10 Class 12 Vector Algebra
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Ex 10.3, 18 If 𝑎﷯ is a nonzero vector of magnitude ‘a’ and λ a nonzero scalar, then λ 𝑎﷯ is unit vector if (A) λ = 1 (B) λ = – 1 (C) a = |λ| (D) a = 1﷮ λ﷯﷯ Given, magnitude of vector 𝑎﷯ is ‘a’ So, 𝑎﷯﷯ = a For a non zero scalar ‘λ’ λ 𝑎﷯ is a unit vector magnitude of λ 𝑎﷯ is 1 So, λ 𝒂﷯﷯ = 1 λ﷯ 𝑎﷯﷯ = 1 λ﷯ 𝑎 = 1 𝑎 = 1﷮ λ﷯﷯ Hence D is the correct answer.

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