Misc 5 - Chapter 10 Class 12 Vector Algebra

Last updated at Dec. 19, 2018 by Teachoo

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 Magnitude of 𝑎 ⃗ = √(𝑥2+𝑥2+𝑥2) |𝑎 ⃗ | = √3𝑥2 = ±√3 𝑥 Now, |𝑎 ⃗ | = 1 ±√3 𝑥 = 1 𝒙 = ±𝟏/√𝟑 Note: We take ± because x can have both positive and negative value

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Chapter 10 Class 12 Vector Algebra

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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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