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  1. Chapter 10 Class 12 Vector Algebra
  2. Serial order wise

Transcript

Misc 5 Find the value of x for which x(๐‘– ฬ‚ + ๐‘— ฬ‚ + ๐‘˜ ฬ‚) is a unit vector.Let ๐‘Ž โƒ— = x(๐‘– ฬ‚ + ๐‘— ฬ‚ + ๐‘˜ ฬ‚) So, ๐‘Ž โƒ— = ๐‘ฅ๐‘– ฬ‚ + ๐‘ฅ๐‘— ฬ‚ + ๐‘ฅ๐‘˜ ฬ‚ Given, ๐‘Ž โƒ— is a unit vector Magnitude of ๐‘Ž โƒ— is 1. So, |๐‘Ž โƒ— | = 1 Magnitude of ๐‘Ž โƒ— = โˆš(๐‘ฅ^2+๐‘ฅ2+๐‘ฅ2) |๐‘Ž โƒ— | = โˆš3๐‘ฅ2 |๐‘Ž โƒ— | = ยฑโˆš3 ๐‘ฅ Note We take ยฑ because x can have both positive and negative value Now, |๐‘Ž โƒ— | = 1 ยฑโˆš3 ๐‘ฅ = 1 ๐’™ = ยฑ๐Ÿ/โˆš๐Ÿ‘

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.