Get live Maths 1-on-1 Classs - Class 6 to 12
Misc 5 - Chapter 10 Class 12 Vector Algebra (Term 2)
Last updated at March 16, 2023 by Teachoo
Miscellaneous
Misc 1
Important
Misc 2
Misc 3 Important
Misc 4
Misc 5 Important You are here
Misc 6
Misc 7 Important
Misc 8 Important
Misc 9
Misc 10
Misc 11 Important
Misc 12 Important
Misc 13
Misc 14 Important
Misc 15 Important
Misc 16 (MCQ) Important
Misc 17 (MCQ) Important
Misc 18 (MCQ) Important
Misc 19 (MCQ) Important
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
