Last updated at Dec. 19, 2018 by Teachoo

Transcript

Misc 5 Find the value of x for which x(๐ ฬ + ๐ ฬ + ๐ ฬ) is a unit vector. Let ๐ โ = x(๐ ฬ + ๐ ฬ + ๐ ฬ) So, ๐ โ = ๐ฅ๐ ฬ + ๐ฅ๐ ฬ + ๐ฅ๐ ฬ Given, ๐ โ is a unit vector Magnitude of ๐ โ is 1. So, |๐ โ | = 1 Magnitude of ๐ โ = โ(๐ฅ2+๐ฅ2+๐ฅ2) |๐ โ | = โ3๐ฅ2 = ยฑโ3 ๐ฅ Now, |๐ โ | = 1 ยฑโ3 ๐ฅ = 1 ๐ = ยฑ๐/โ๐ Note: We take ยฑ because x can have both positive and negative value

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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.