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 ๐‘Ž โƒ— is a nonzero vector of magnitude โ€˜aโ€™ & ฮป a nonzero scalar, then ฮป๐‘Ž โƒ— is unit vector if (A) ฮป = 1 (B) ฮป = โ€“ 1 (C) a = |ฮป| (D) a = 1/|"ฮป" | Given, magnitude of vector ๐‘Ž โƒ— is โ€˜aโ€™ So, |๐‘Ž โƒ— | = a For a non zero scalar โ€˜ฮปโ€™ ฮป๐‘Ž โƒ— is a unit vector Magnitude of ฮป๐‘Ž โƒ— is 1 So, |"ฮป" ๐’‚ โƒ— | = 1 |"ฮป" ||๐‘Ž โƒ— | = 1 |"ฮป" | ๐‘Ž = 1 ๐‘Ž = 1/|"ฮป" | Hence, D is the correct answer.

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