Misc 5 - Find x for which x(i + j + k) is a unit vector.

Advertisement

Misc 5 - Chapter 10 Class 12 Vector Algebra - Part 2

Advertisement

  1. Chapter 10 Class 12 Vector Algebra (Term 2)
  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’‚ โƒ— | = 1 Thus, Magnitude of ๐’‚ โƒ— = 1 โˆš(๐‘ฅ^2+๐‘ฅ2+๐‘ฅ2) = 1 โˆš3๐‘ฅ2 = 1 ยฑโˆš3 ๐‘ฅ = 1 ๐’™ = ยฑ๐Ÿ/โˆš๐Ÿ‘ Note We take ยฑ because x can have both positive and negative value

About the Author

Davneet Singh's photo - Teacher, Engineer, Marketer
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.