Misc 5 - Chapter 10 Class 12 Vector Algebra (Term 2)

Last updated at May 6, 2021 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

Transcript

Misc 5 Find the value of x for which x(𝑖 ̂ + 𝑗 ̂ + 𝑘 ̂) is a unit vector.Let 𝑎 ⃗ = x(𝑖 ̂ + 𝑗 ̂ + 𝑘 ̂) So, 𝑎 ⃗ = 𝑥𝑖 ̂ + 𝑥𝑗 ̂ + 𝑥𝑘 ̂ Given, 𝑎 ⃗ is a unit vector Magnitude of 𝑎 ⃗ is 1. So, |𝒂 ⃗ | = 1 Thus, Magnitude of 𝒂 ⃗ = 1 √(𝑥^2+𝑥2+𝑥2) = 1 √3𝑥2 = 1 ±√3 𝑥 = 1 𝒙 = ±𝟏/√𝟑 Note We take ± because x can have both positive and negative value

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Supplementary examples and questions from CBSE →

Chapter 10 Class 12 Vector Algebra (Term 2)

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Ex 10.1
Ex 10.2
Ex 10.3
Ex 10.4
Ex 10.5 (Supplementary NCERT)
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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.