Misc 5 - Chapter 10 Class 12 Vector Algebra

Last updated at August 13, 2026 by

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

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

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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

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