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

Ex 10.3, 18 - Chapter 10 Class 12 Vector Algebra - Part 2

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Ex 10.3, 18 If π‘Ž βƒ— is a nonzero vector of magnitude β€˜a’ & Ξ» a nonzero scalar, then Ξ»π‘Ž βƒ— is unit vector if (A) Ξ» = 1 (B) Ξ» = – 1 (C) a = |Ξ»| (D) a = 1/|"Ξ»" | Given, magnitude of vector π‘Ž βƒ— is β€˜a’ So, |π‘Ž βƒ— | = a For a non zero scalar β€˜Ξ»β€™ Ξ»π‘Ž βƒ— is a unit vector Magnitude of Ξ»π‘Ž βƒ— is 1 So, |"Ξ»" 𝒂 βƒ— | = 1 |"Ξ»" ||π‘Ž βƒ— | = 1 |"Ξ»" | π‘Ž = 1 π‘Ž = 1/|"Ξ»" | Hence, D is the correct answer.

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